15.4 Class Task ¶

Task.appendaccs¶

appendaccs(domidxs,afeidxlist,b)

Appends numaccs affine conic constraint to the task. Each single affine conic constraint should be specified as in Task.appendacc and the input of this function should contain the concatenation of all these descriptions.

In particular, the length of afeidxlist must equal the sum of dimensions of domains indexed in domainsidxs.

Parameters

domidxs (int[]) – Domain indices. (input)
afeidxlist (int[]) – List of affine expression indexes. (input)
b (float[]) – The vector of constant terms modifying affine expressions. Optional, can be None if not required. (input)

Groups

Task.appendaccseq¶

appendaccseq(domidx,afeidxfirst,b)

Appends an affine conic constraint to the task, as in Task.appendacc. The function assumes the affine expressions forming the constraint are sequential. The affine constraint has the form a sequence of affine expressions belongs to a domain.

The domain index is specified with domidx and should refer to a domain previously appended with one of the append...domain functions.

The number of affine expressions should be equal to the dimension \(n\) of the domain. The affine expressions forming the affine constraint are arranged sequentially in a contiguous block of the affine expression store starting from position afeidxfirst. That is, the affine expressions appearing in the affine conic constraint are:

\[F_{\mathtt{afeidxfirst}+k,:}x + g_{\mathtt{afeidxfirst}+k} \quad \mathrm{for}\ k=\idxbeg,\ldots,\idxend{n}.\]

If an optional vector b of length numafeidx is specified then the expressions appearing in the affine constraint will instead be taken as

\[F_{\mathtt{afeidxfirst}+k,:}x + g_{\mathtt{afeidxfirst}+k} - b_k \quad \mathrm{for}\ k=\idxbeg,\ldots,\idxend{n}.\]

Parameters

domidx (int) – Domain index. (input)
afeidxfirst (int) – Index of the first affine expression. (input)
b (float[]) – The vector of constant terms modifying affine expressions. Optional, can be None if not required. (input)

Groups

Task.appendaccsseq¶

appendaccsseq(domidxs,numafeidx,afeidxfirst,b)

Appends numaccs affine conic constraint to the task. It is the block variant of Task.appendaccs, that is it assumes that the affine expressions appearing in the affine conic constraints are sequential in the affine expression store, starting from position afeidxfirst.

Parameters

domidxs (int[]) – Domain indices. (input)
numafeidx (int) – Number of affine expressions in the affine expression list (must equal the sum of dimensions of the domains). (input)
afeidxfirst (int) – Index of the first affine expression. (input)
b (float[]) – The vector of constant terms modifying affine expressions. Optional, can be None if not required. (input)

Groups

Task.appendafes¶

appendafes(num)

Appends a number of empty affine expressions to the task.

Parameters: num (int) – Number of empty affine expressions which should be appended. (input)
Groups: Problem data - affine expressions

Task.appendbarvars¶

appendbarvars(dim)

Appends positive semidefinite matrix variables of dimensions given by dim to the problem.

Parameters: dim (int[]) – Dimensions of symmetric matrix variables to be added. (input)
Groups: Problem data - semidefinite

Task.appendcone Deprecated¶

appendcone(ct,conepar,submem)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Appends a new conic constraint to the problem. Hence, add a constraint

\[\hat{x} \in \K\]

to the problem, where \(\K\) is a convex cone. \(\hat{x}\) is a subset of the variables which will be specified by the argument submem. Cone type is specified by ct.

Define

\[\hat{x} = x_{\mathtt{submem}[1]},\ldots,x_{\mathtt{submem}[\mathtt{nummem}]}.\]

Depending on the value of ct this function appends one of the constraints:

Quadratic cone (conetype.quad, requires \(\mathtt{nummem}\geq 1\)):

\[\hat{x}_0 \geq \sqrt{\sum_{i=1}^{i<\mathtt{nummem}} \hat{x}_i^2}\]
Rotated quadratic cone (conetype.rquad, requires \(\mathtt{nummem}\geq 2\)):

\[2 \hat{x}_0 \hat{x}_1 \geq \sum_{i=2}^{i<\mathtt{nummem}} \hat{x}^2_i, \quad \hat{x}_{0}, \hat{x}_1 \geq 0\]
Primal exponential cone (conetype.pexp, requires \(\mathtt{nummem}=3\)):

\[\hat{x}_0 \geq \hat{x}_1\exp(\hat{x}_2/\hat{x}_1), \quad \hat{x}_0,\hat{x}_1 \geq 0\]
Primal power cone (conetype.ppow, requires \(\mathtt{nummem}\geq 2\)):

\[\hat{x}_0^\alpha \hat{x}_1^{1-\alpha} \geq \sqrt{\sum_{i=2}^{i<\mathtt{nummem}} \hat{x}^2_i}, \quad \hat{x}_{0}, \hat{x}_1 \geq 0\]

where \(\alpha\) is the cone parameter specified by conepar.
Dual exponential cone (conetype.dexp, requires \(\mathtt{nummem}=3\)):

\[\hat{x}_0 \geq -\hat{x}_2 e^{-1}\exp(\hat{x}_1/\hat{x}_2), \quad \hat{x}_2\leq 0,\hat{x}_0 \geq 0\]
Dual power cone (conetype.dpow, requires \(\mathtt{nummem}\geq 2\)):

\[\left(\frac{\hat{x}_0}{\alpha}\right)^\alpha \left(\frac{\hat{x}_1}{1-\alpha}\right)^{1-\alpha} \geq \sqrt{\sum_{i=2}^{i<\mathtt{nummem}} \hat{x}^2_i}, \quad \hat{x}_{0}, \hat{x}_1 \geq 0\]

where \(\alpha\) is the cone parameter specified by conepar.
Zero cone (conetype.zero):

\[\hat{x}_i = 0 \ \textrm{for all}\ i\]

Please note that the sets of variables appearing in different conic constraints must be disjoint.

For an explained code example see Sec. 6.3 (Conic Quadratic Optimization), Sec. 6.5 (Conic Exponential Optimization) or Sec. 6.4 (Power Cone Optimization).

Parameters

ct (mosek.conetype) – Specifies the type of the cone. (input)
conepar (float) – For the power cone it denotes the exponent alpha. For other cone types it is unused and can be set to 0. (input)
submem (int[]) – Variable subscripts of the members in the cone. (input)

Groups

Task.appendconeseq Deprecated¶

appendconeseq(ct,conepar,nummem,j)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Appends a new conic constraint to the problem, as in Task.appendcone. The function assumes the members of cone are sequential where the first member has index j and the last j+nummem-1.

Parameters

ct (mosek.conetype) – Specifies the type of the cone. (input)
conepar (float) – For the power cone it denotes the exponent alpha. For other cone types it is unused and can be set to 0. (input)
nummem (int) – Number of member variables in the cone. (input)
j (int) – Index of the first variable in the conic constraint. (input)

Groups

Task.appendconesseq Deprecated¶

appendconesseq(ct,conepar,nummem,j)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Appends a number of conic constraints to the problem, as in Task.appendcone. The \(k\)th cone is assumed to be of dimension nummem[k]. Moreover, it is assumed that the first variable of the first cone has index \(j\) and starting from there the sequentially following variables belong to the first cone, then to the second cone and so on.

Parameters

ct (mosek.conetype[]) – Specifies the type of the cone. (input)
conepar (float[]) – For the power cone it denotes the exponent alpha. For other cone types it is unused and can be set to 0. (input)
nummem (int[]) – Numbers of member variables in the cones. (input)
j (int) – Index of the first variable in the first cone to be appended. (input)

Groups

Task.appendcons¶

appendcons(num)

Appends a number of constraints to the model. Appended constraints will be declared free. Please note that MOSEK will automatically expand the problem dimension to accommodate the additional constraints.

Parameters: num (int) – Number of constraints which should be appended. (input)
Groups: Problem data - linear part, Problem data - constraints

Task.appenddjcs¶

appenddjcs(num)

Appends a number of empty disjunctive constraints to the task.

Parameters: num (int) – Number of empty disjunctive constraints which should be appended. (input)
Groups: Problem data - disjunctive constraints

Task.appenddualexpconedomain¶

appenddualexpconedomain() -> (domidx)

Appends the dual exponential cone \(\left\{ x\in \real^3 ~:~ x_0 \geq -x_2 e^{-1} e^{x_1/x_2},\ x_0> 0,\ x_2< 0 \right\}\) to the list of domains.

Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appenddualgeomeanconedomain¶

appenddualgeomeanconedomain(n) -> (domidx)

Appends the dual geometric mean cone \(\left\{ x\in \real^n ~:~ (n-1) \left(\prod_{i=0}^{n-2} x_i\right)^{1/(n-1)} \geq |x_{n-1}|,\ x_0,\ldots,x_{n-2}\geq 0 \right\}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appenddualpowerconedomain¶

appenddualpowerconedomain(n,alpha) -> (domidx)

Appends the dual power cone domain of dimension \(n\), with \(n_\ell\) variables appearing on the left-hand side, where \(n_\ell\) is the length of \(\alpha\), and with a homogenous sequence of exponents \(\alpha_0,\ldots,\alpha_{n_\ell-1}\).

Formally, let \(s = \sum_i \alpha_i\) and \(\beta_i = \alpha_i / s\), so that \(\sum_i \beta_i=1\). Then the dual power cone is defined as follows:

\[\left\{ x\in \real^n ~:~ \prod_{i=0}^{n_\ell-1} \left(\frac{x_i}{\beta_i}\right)^{\beta_i} \geq \sqrt{\sum_{j=n_\ell}^{n-1}x_j^2},\ x_0\ldots,x_{n_\ell-1}\geq 0 \right\}\]

Parameters

n (int) – Dimension of the domain. (input)
alpha (float[]) – The sequence proportional to exponents. Must be positive. (input)

Return

domidx (int) – Index of the domain.

Groups

Problem data - domain

Task.appendprimalexpconedomain¶

appendprimalexpconedomain() -> (domidx)

Appends the primal exponential cone \(\left\{ x\in \real^3 ~:~ x_0 \geq x_1 e^{x_2/x_1},\ x_0,x_1> 0 \right\}\) to the list of domains.

Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendprimalgeomeanconedomain¶

appendprimalgeomeanconedomain(n) -> (domidx)

Appends the primal geometric mean cone \(\left\{ x\in \real^n ~:~ \left(\prod_{i=0}^{n-2} x_i\right)^{1/(n-1)} \geq |x_{n-1}|,\ x_0\ldots,x_{n-2}\geq 0 \right\}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendprimalpowerconedomain¶

appendprimalpowerconedomain(n,alpha) -> (domidx)

Appends the primal power cone domain of dimension \(n\), with \(n_\ell\) variables appearing on the left-hand side, where \(n_\ell\) is the length of \(\alpha\), and with a homogenous sequence of exponents \(\alpha_0,\ldots,\alpha_{n_\ell-1}\).

Formally, let \(s = \sum_i \alpha_i\) and \(\beta_i = \alpha_i / s\), so that \(\sum_i \beta_i=1\). Then the primal power cone is defined as follows:

\[\left\{ x\in \real^n ~:~ \prod_{i=0}^{n_\ell-1} x_i^{\beta_i} \geq \sqrt{\sum_{j=n_\ell}^{n-1}x_j^2},\ x_0\ldots,x_{n_\ell-1}\geq 0 \right\}\]

Parameters

n (int) – Dimension of the domain. (input)
alpha (float[]) – The sequence proportional to exponents. Must be positive. (input)

Return

domidx (int) – Index of the domain.

Groups

Problem data - domain

Task.appendquadraticconedomain¶

appendquadraticconedomain(n) -> (domidx)

Appends the \(n\)-dimensional quadratic cone \(\left\{x\in\real^n~:~x_0 \geq \sqrt{\sum_{i=1}^{n-1} x_i^2}\right\}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendrdomain¶

appendrdomain(n) -> (domidx)

Appends the \(n\)-dimensional real space \(\{ x \in \real^n \}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendrminusdomain¶

appendrminusdomain(n) -> (domidx)

Appends the \(n\)-dimensional negative orthant \(\{ x \in \real^n: \, x \leq 0 \}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendrplusdomain¶

appendrplusdomain(n) -> (domidx)

Appends the \(n\)-dimensional positive orthant \(\{ x \in \real^n: \, x \geq 0 \}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendrquadraticconedomain¶

appendrquadraticconedomain(n) -> (domidx)

Appends the \(n\)-dimensional rotated quadratic cone \(\left\{x\in\real^n~:~2 x_0 x_1 \geq \sum_{i=2}^{n-1} x_i^2,\ x_0,x_1\geq 0\right\}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendrzerodomain¶

appendrzerodomain(n) -> (domidx)

Appends the zero in \(n\)-dimensional real space \(\{ x \in \real^n: \, x = 0 \}\) to the list of domains.

Parameters: n (int) – Dimmension of the domain. (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendsparsesymmat¶

appendsparsesymmat(dim,subi,subj,valij) -> (idx)

MOSEK maintains a storage of symmetric data matrices that is used to build \(\barC\) and \(\barA\). The storage can be thought of as a vector of symmetric matrices denoted \(E\). Hence, \(E_i\) is a symmetric matrix of certain dimension.

This function appends a general sparse symmetric matrix on triplet form to the vector \(E\) of symmetric matrices. The vectors subi, subj, and valij contains the row subscripts, column subscripts and values of each element in the symmetric matrix to be appended. Since the matrix that is appended is symmetric, only the lower triangular part should be specified. Moreover, duplicates are not allowed.

Observe the function reports the index (position) of the appended matrix in \(E\). This index should be used for later references to the appended matrix.

Parameters

dim (int) – Dimension of the symmetric matrix that is appended. (input)
subi (int[]) – Row subscript in the triplets. (input)
subj (int[]) – Column subscripts in the triplets. (input)
valij (float[]) – Values of each triplet. (input)

Return

idx (int) – Unique index assigned to the inputted matrix that can be used for later reference.

Groups

Task.appendsparsesymmatlist¶

appendsparsesymmatlist(dims,nz,subi,subj,valij,idx)

appendsparsesymmatlist(dims,nz,subi,subj,valij) -> (idx)

MOSEK maintains a storage of symmetric data matrices that is used to build \(\barC\) and \(\barA\). The storage can be thought of as a vector of symmetric matrices denoted \(E\). Hence, \(E_i\) is a symmetric matrix of certain dimension.

This function appends general sparse symmetric matrixes on triplet form to the vector \(E\) of symmetric matrices. The vectors subi, subj, and valij contains the row subscripts, column subscripts and values of each element in the symmetric matrix to be appended. Since the matrix that is appended is symmetric, only the lower triangular part should be specified. Moreover, duplicates are not allowed.

Observe the function reports the index (position) of the appended matrix in \(E\). This index should be used for later references to the appended matrix.

Parameters

dims (int[]) – Dimensions of the symmetric matrixes. (input)
nz (int[]) – Number of nonzeros for each matrix. (input)
subi (int[]) – Row subscript in the triplets. (input)
subj (int[]) – Column subscripts in the triplets. (input)
valij (float[]) – Values of each triplet. (input)
idx (int[]) – Unique index assigned to the inputted matrix that can be used for later reference. (output)

Return

idx (int[]) – Unique index assigned to the inputted matrix that can be used for later reference.

Groups

Task.appendsvecpsdconedomain¶

appendsvecpsdconedomain(n) -> (domidx)

Appends the domain consisting of vectors of length \(n=d(d+1)/2\) defined as follows

\[\{(x_1,\ldots,x_{d(d+1)/2})\in \real^n~:~ \mathrm{sMat}(x)\in\PSD^d\} = \{\mathrm{sVec}(X)~:~X\in\PSD^d\},\]

where

\[\mathrm{sVec}(X) = (X_{11},\sqrt{2}X_{21},\ldots,\sqrt{2}X_{d1},X_{22},\sqrt{2}X_{32},\ldots,X_{dd}),\]

and

\[\begin{split}\mathrm{sMat}(x) = \left[\begin{array}{cccc}x_1 & x_2/\sqrt{2} & \cdots & x_{d}/\sqrt{2} \\ x_2/\sqrt{2} & x_{d+1} & \cdots & x_{2d-1}/\sqrt{2} \\ \cdots & \cdots & \cdots & \cdots \\ x_{d}/\sqrt{2} & x_{2d-1}/\sqrt{2} & \cdots & x_{d(d+1)/2}\end{array}\right].\end{split}\]

In other words, the domain consists of vectorizations of the lower-triangular part of a positive semidefinite matrix, with the non-diagonal elements additionally rescaled.

This domain is a self-dual cone.

Parameters: n (int) – Dimension of the domain, must be of the form \(d(d+1)/2\). (input)
Return: domidx (int) – Index of the domain.
Groups: Problem data - domain

Task.appendvars¶

appendvars(num)

Appends a number of variables to the model. Appended variables will be fixed at zero. Please note that MOSEK will automatically expand the problem dimension to accommodate the additional variables.

Parameters: num (int) – Number of variables which should be appended. (input)
Groups: Problem data - linear part, Problem data - variables

Task.asyncgetresult¶

asyncgetresult(address,accesstoken,token) -> (respavailable,resp,trm)

Request a solution from a remote job identified by the argument token. For other arguments see Task.asyncoptimize. If the solution is available it will be retrieved and loaded into the local task.

Parameters

address (str) – Address of the OptServer. (input)
accesstoken (str) – Access token. (input)
token (str) – The task token. (input)

Return

respavailable (bool) – Indicates if a remote response is available. If this is not true, resp and trm should be ignored.
resp (mosek.rescode) – Is the response code from the remote solver.
trm (mosek.rescode) – Is either rescode.ok or a termination response code.

Groups

Task.asyncoptimize¶

asyncoptimize(address,accesstoken) -> (token)

Offload the optimization task to an instance of OptServer specified by addr, which should be a valid URL, for example http://server:port or https://server:port. The call will exit immediately.

If the server requires authentication, the authentication token can be passed in the accesstoken argument.

If the server requires encryption, the keys can be passed using one of the solver parameters sparam.remote_tls_cert or sparam.remote_tls_cert_path.

The function returns a token which should be used in future calls to identify the task.

Parameters

address (str) – Address of the OptServer. (input)
accesstoken (str) – Access token. (input)

Return

token (str) – Returns the task token.

Groups

Task.asyncpoll¶

asyncpoll(address,accesstoken,token) -> (respavailable,resp,trm)

Requests information about the status of the remote job identified by the argument token. For other arguments see Task.asyncoptimize.

Parameters

address (str) – Address of the OptServer. (input)
accesstoken (str) – Access token. (input)
token (str) – The task token. (input)

Return

respavailable (bool) – Indicates if a remote response is available. If this is not true, resp and trm should be ignored.
resp (mosek.rescode) – Is the response code from the remote solver.
trm (mosek.rescode) – Is either rescode.ok or a termination response code.

Groups

Task.asyncstop¶

asyncstop(address,accesstoken,token)

Request that the remote job identified by token is terminated. For other arguments see Task.asyncoptimize.

Parameters

address (str) – Address of the OptServer. (input)
accesstoken (str) – Access token. (input)
token (str) – The task token. (input)

Groups

Solving systems with basis matrix

Task.basiscond¶

basiscond() -> (nrmbasis,nrminvbasis)

If a basic solution is available and it defines a nonsingular basis, then this function computes the 1-norm estimate of the basis matrix and a 1-norm estimate for the inverse of the basis matrix. The 1-norm estimates are computed using the method outlined in [Ste98], pp. 388-391.

By definition the 1-norm condition number of a matrix \(B\) is defined as

\[\kappa_1(B) := \|B\|_1 \|B^{-1}\|_1.\]

Moreover, the larger the condition number is the harder it is to solve linear equation systems involving \(B\). Given estimates for \(\|B\|_1\) and \(\|B^{-1}\|_1\) it is also possible to estimate \(\kappa_1(B)\).

Return

nrmbasis (float) – An estimate for the 1-norm of the basis.
nrminvbasis (float) – An estimate for the 1-norm of the inverse of the basis.

Groups

Task.checkmem¶

checkmem(file,line)

Checks the memory allocated by the task.

Parameters

file (str) – File from which the function is called. (input)
line (int) – Line in the file from which the function is called. (input)

Groups

System, memory and debugging

Task.chgconbound¶

chgconbound(i,lower,finite,value)

Changes a bound for one constraint.

If lower is non-zero, then the lower bound is changed as follows:

\[\begin{split}\mbox{new lower bound} = \left\{ \begin{array}{ll} - \infty, & \mathtt{finite}=0, \\ \mathtt{value} & \mbox{otherwise}. \end{array} \right.\end{split}\]

Otherwise if lower is zero, then

\[\begin{split}\mbox{new upper bound} = \left\{ \begin{array}{ll} \infty, & \mathtt{finite}=0, \\ \mathtt{value} & \mbox{otherwise}. \end{array} \right.\end{split}\]

Please note that this function automatically updates the bound key for the bound, in particular, if the lower and upper bounds are identical, the bound key is changed to fixed.

Parameters

i (int) – Index of the constraint for which the bounds should be changed. (input)
lower (int) – If non-zero, then the lower bound is changed, otherwise the upper bound is changed. (input)
finite (int) – If non-zero, then value is assumed to be finite. (input)
value (float) – New value for the bound. (input)

Groups

Problem data - bounds, Problem data - constraints, Problem data - linear part

Task.chgvarbound¶

chgvarbound(j,lower,finite,value)

Changes a bound for one variable.

If lower is non-zero, then the lower bound is changed as follows:

\[\begin{split}\mbox{new lower bound} = \left\{ \begin{array}{ll} - \infty, & \mathtt{finite}=0, \\ \mathtt{value} & \mbox{otherwise}. \end{array} \right.\end{split}\]

Otherwise if lower is zero, then

\[\begin{split}\mbox{new upper bound} = \left\{ \begin{array}{ll} \infty, & \mathtt{finite}=0, \\ \mathtt{value} & \mbox{otherwise}. \end{array} \right.\end{split}\]

Please note that this function automatically updates the bound key for the bound, in particular, if the lower and upper bounds are identical, the bound key is changed to fixed.

Parameters

j (int) – Index of the variable for which the bounds should be changed. (input)
lower (int) – If non-zero, then the lower bound is changed, otherwise the upper bound is changed. (input)
finite (int) – If non-zero, then value is assumed to be finite. (input)
value (float) – New value for the bound. (input)

Groups

Problem data - bounds, Problem data - variables, Problem data - linear part

Task.commitchanges¶

commitchanges()

Commits all cached problem changes to the task. It is usually not necessary to call this function explicitly since changes will be committed automatically when required.

Groups: Environment and task management

Task.deletesolution¶

deletesolution(whichsol)

Undefine a solution and free the memory it uses.

Parameters: whichsol (mosek.soltype) – Selects a solution. (input)
Groups: Environment and task management, Solution information

Task.dualsensitivity¶

dualsensitivity(subj,
                leftpricej,
                rightpricej,
                leftrangej,
                rightrangej)

dualsensitivity(subj) ->
               (leftpricej,
                rightpricej,
                leftrangej,
                rightrangej)

Calculates sensitivity information for objective coefficients. The indexes of the coefficients to analyze are

\[\{\mathtt{subj}[i] ~|~ i = \idxbeg,\ldots,\idxend{\mathtt{numj}}\}\]

The type of sensitivity analysis to perform (basis or optimal partition) is controlled by the parameter iparam.sensitivity_type.

For an example, please see Section Example: Sensitivity Analysis.

Parameters

subj (int[]) – Indexes of objective coefficients to analyze. (input)
leftpricej (float[]) – \(\mathtt{leftpricej}[j]\) is the left shadow price for the coefficient with index \(\mathtt{subj[j]}\). (output)
rightpricej (float[]) – \(\mathtt{rightpricej}[j]\) is the right shadow price for the coefficient with index \(\mathtt{subj[j]}\). (output)
leftrangej (float[]) – \(\mathtt{leftrangej}[j]\) is the left range \(\beta_1\) for the coefficient with index \(\mathtt{subj[j]}\). (output)
rightrangej (float[]) – \(\mathtt{rightrangej}[j]\) is the right range \(\beta_2\) for the coefficient with index \(\mathtt{subj[j]}\). (output)

Return

leftpricej (float[]) – \(\mathtt{leftpricej}[j]\) is the left shadow price for the coefficient with index \(\mathtt{subj[j]}\).
rightpricej (float[]) – \(\mathtt{rightpricej}[j]\) is the right shadow price for the coefficient with index \(\mathtt{subj[j]}\).
leftrangej (float[]) – \(\mathtt{leftrangej}[j]\) is the left range \(\beta_1\) for the coefficient with index \(\mathtt{subj[j]}\).
rightrangej (float[]) – \(\mathtt{rightrangej}[j]\) is the right range \(\beta_2\) for the coefficient with index \(\mathtt{subj[j]}\).

Groups

Sensitivity analysis

Task.emptyafebarfrow¶

emptyafebarfrow(afeidx)

Clears a row in \(\barF\) i.e. sets \(\barF_{\mathrm{afeidx},*} = 0\).

Parameters: afeidx (int) – Row index of \(\barF\). (input)
Groups: Problem data - affine expressions, Problem data - semidefinite

Task.emptyafebarfrowlist¶

emptyafebarfrowlist(afeidxlist)

Clears a number of rows in \(\barF\) i.e. sets \(\barF_{i,*} = 0\) for all indices \(i\) in afeidxlist.

Parameters: afeidxlist (int[]) – Indices of rows in \(\barF\) to clear. (input)
Groups: Problem data - affine expressions, Problem data - semidefinite

Task.emptyafefcol¶

emptyafefcol(varidx)

Clears one column in the affine constraint matrix \(F\), that is sets \(F_{*,\mathrm{varidx}}=0\).

Parameters: varidx (int) – Index of a variable (column in \(F\)). (input)
Groups: Problem data - affine expressions

Task.emptyafefcollist¶

emptyafefcollist(varidx)

Clears a number of columns in \(F\) i.e. sets \(F_{*,j} = 0\) for all indices \(j\) in varidx.

Parameters: varidx (int[]) – Indices of variables (columns) in \(F\) to clear. (input)
Groups: Problem data - affine expressions

Task.emptyafefrow¶

emptyafefrow(afeidx)

Clears one row in the affine constraint matrix \(F\), that is sets \(F_{\mathrm{afeidx},*}=0\).

Parameters: afeidx (int) – Index of a row in \(F\). (input)
Groups: Problem data - affine expressions

Task.emptyafefrowlist¶

emptyafefrowlist(afeidx)

Clears a number of rows in \(F\) i.e. sets \(F_{i,*} = 0\) for all indices \(i\) in afeidx.

Parameters: afeidx (int[]) – Indices of rows in \(F\) to clear. (input)
Groups: Problem data - affine expressions

Task.evaluateacc¶

evaluateacc(whichsol,accidx,activity)

evaluateacc(whichsol,accidx) -> (activity)

Evaluates the activity of an affine conic constraint.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
accidx (int) – The index of the affine conic constraint. (input)
activity (float[]) – The activity of the affine conic constraint. The array should have length equal to the dimension of the constraint. (output)

Return

activity (float[]) – The activity of the affine conic constraint. The array should have length equal to the dimension of the constraint.

Groups

Solution - primal, Problem data - affine conic constraints

Task.evaluateaccs¶

evaluateaccs(whichsol,activity)

evaluateaccs(whichsol) -> (activity)

Evaluates the activities of all affine conic constraints.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
activity (float[]) – The activity of affine conic constraints. The array should have length equal to the sum of dimensions of all affine conic constraints. (output)

Return

activity (float[]) – The activity of affine conic constraints. The array should have length equal to the sum of dimensions of all affine conic constraints.

Groups

Solution - primal, Problem data - affine conic constraints

Task.generateaccnames¶

generateaccnames(sub,fmt,dims,sp,namedaxisidxs,names)

Internal.

Parameters

sub (int[]) – Indexes of the affine conic constraints. (input)
fmt (str) – The variable name formatting string. (input)
dims (int[]) – Dimensions in the shape. (input)
sp (int[]) – Items that should be named. (input)
namedaxisidxs (int[]) – List if named index axes (input)
names (str[]) – All axis names. (input)

Groups

Names

Task.generatebarvarnames¶

generatebarvarnames(subj,fmt,dims,sp,namedaxisidxs,names)

Generates systematic names for variables.

Parameters

subj (int[]) – Indexes of the variables. (input)
fmt (str) – The variable name formatting string. (input)
dims (int[]) – Dimensions in the shape. (input)
sp (int[]) – Items that should be named. (input)
namedaxisidxs (int[]) – List if named index axes (input)
names (str[]) – All axis names. (input)

Groups

Names, Problem data - variables, Problem data - linear part

Task.generateconenames Deprecated¶

generateconenames(subk,fmt,dims,sp,namedaxisidxs,names)

Internal, deprecated.

Parameters

subk (int[]) – Indexes of the cone. (input)
fmt (str) – The cone name formatting string. (input)
dims (int[]) – Dimensions in the shape. (input)
sp (int[]) – Items that should be named. (input)
namedaxisidxs (int[]) – List if named index axes (input)
names (str[]) – All axis names. (input)

Groups

Names, Problem data - cones (deprecated)

Task.generateconnames¶

generateconnames(subi,fmt,dims,sp,namedaxisidxs,names)

Generates systematic names for constraints.

Parameters

subi (int[]) – Indexes of the constraints. (input)
fmt (str) – The constraint name formatting string. (input)
dims (int[]) – Dimensions in the shape. (input)
sp (int[]) – Items that should be named. (input)
namedaxisidxs (int[]) – List if named index axes (input)
names (str[]) – All axis names. (input)

Groups

Names, Problem data - constraints, Problem data - linear part

Task.generatedjcnames¶

generatedjcnames(sub,fmt,dims,sp,namedaxisidxs,names)

Internal.

Parameters

sub (int[]) – Indexes of the disjunctive constraints. (input)
fmt (str) – The variable name formatting string. (input)
dims (int[]) – Dimensions in the shape. (input)
sp (int[]) – Items that should be named. (input)
namedaxisidxs (int[]) – List if named index axes (input)
names (str[]) – All axis names. (input)

Groups

Names

Task.generatevarnames¶

generatevarnames(subj,fmt,dims,sp,namedaxisidxs,names)

Generates systematic names for variables.

Parameters

subj (int[]) – Indexes of the variables. (input)
fmt (str) – The variable name formatting string. (input)
dims (int[]) – Dimensions in the shape. (input)
sp (int[]) – Items that should be named. (input)
namedaxisidxs (int[]) – List if named index axes (input)
names (str[]) – All axis names. (input)

Groups

Names, Problem data - variables, Problem data - linear part

Task.getaccafeidxlist¶

getaccafeidxlist(accidx,afeidxlist)

getaccafeidxlist(accidx) -> (afeidxlist)

Obtains the list of affine expressions appearing in the affine conic constraint.

Parameters

accidx (int) – Index of the affine conic constraint. (input)
afeidxlist (int[]) – List of indexes of affine expressions appearing in the constraint. (output)

Return

afeidxlist (int[]) – List of indexes of affine expressions appearing in the constraint.

Groups

Problem data - affine conic constraints, Inspecting the task

Task.getaccb¶

getaccb(accidx,b)

getaccb(accidx) -> (b)

Obtains the additional constant term vector appearing in the affine conic constraint.

Parameters

accidx (int) – Index of the affine conic constraint. (input)
b (float[]) – The vector b appearing in the constraint. (output)

Return

b (float[]) – The vector b appearing in the constraint.

Groups

Problem data - affine conic constraints, Inspecting the task

Task.getaccbarfblocktriplet¶

getaccbarfblocktriplet(acc_afe,bar_var,blk_row,blk_col,blk_val) -> (numtrip)

getaccbarfblocktriplet() ->
                      (numtrip,
                       acc_afe,
                       bar_var,
                       blk_row,
                       blk_col,
                       blk_val)

Obtains \(\barF\), implied by the ACCs, in block triplet form. If the AFEs passed to the ACCs were out of order, then this function can be used to obtain the barF as seen by the ACCs.

Parameters

acc_afe (int[]) – Index of the AFE within the concatenated list of AFEs in ACCs. (output)
bar_var (int[]) – Symmetric matrix variable index. (output)
blk_row (int[]) – Block row index. (output)
blk_col (int[]) – Block column index. (output)
blk_val (float[]) – The numerical value associated with each block triplet. (output)

Return

numtrip (int) – Number of elements in the block triplet form.
acc_afe (int[]) – Index of the AFE within the concatenated list of AFEs in ACCs.
bar_var (int[]) – Symmetric matrix variable index.
blk_row (int[]) – Block row index.
blk_col (int[]) – Block column index.
blk_val (float[]) – The numerical value associated with each block triplet.

Groups

Problem data - affine expressions, Problem data - semidefinite

Task.getaccbarfnumblocktriplets¶

getaccbarfnumblocktriplets() -> (numtrip)

Obtains an upper bound on the number of elements in the block triplet form of \(\barF\), as used within the ACCs.

Return: numtrip (int) – An upper bound on the number of elements in the block triplet form of \(\barF.\), as used within the ACCs.
Groups: Problem data - semidefinite, Problem data - affine conic constraints, Inspecting the task

Task.getaccdomain¶

getaccdomain(accidx) -> (domidx)

Obtains the domain appearing in the affine conic constraint.

Parameters: accidx (int) – The index of the affine conic constraint. (input)
Return: domidx (int) – The index of domain in the affine conic constraint.
Groups: Problem data - affine conic constraints, Inspecting the task

Task.getaccdoty¶

getaccdoty(whichsol,accidx,doty)

getaccdoty(whichsol,accidx) -> (doty)

Obtains the \(\dot{y}\) vector for a solution (the dual values of an affine conic constraint).

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
accidx (int) – The index of the affine conic constraint. (input)
doty (float[]) – The dual values for this affine conic constraint. The array should have length equal to the dimension of the constraint. (output)

Return

doty (float[]) – The dual values for this affine conic constraint. The array should have length equal to the dimension of the constraint.

Groups

Solution - dual, Problem data - affine conic constraints

Task.getaccdotys¶

getaccdotys(whichsol,doty)

getaccdotys(whichsol) -> (doty)

Obtains the \(\dot{y}\) vector for a solution (the dual values of all affine conic constraint).

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
doty (float[]) – The dual values of affine conic constraints. The array should have length equal to the sum of dimensions of all affine conic constraints. (output)

Return

doty (float[]) – The dual values of affine conic constraints. The array should have length equal to the sum of dimensions of all affine conic constraints.

Groups

Solution - dual, Problem data - affine conic constraints

Task.getaccfnumnz¶

getaccfnumnz() -> (accfnnz)

If the AFEs are not added sequentially to the ACCs, then the present function gives the number of nonzero elements in the F matrix that would be implied by the ordering of AFEs within ACCs.

Return: accfnnz (int) – Number of non-zeros in \(F\) implied by ACCs.
Groups: Problem data - affine conic constraints, Inspecting the task

Task.getaccftrip¶

getaccftrip(frow,fcol,fval)

getaccftrip() -> (frow,fcol,fval)

Obtains the \(F\) (that would be implied by the ordering of the AFEs within the ACCs) in triplet format.

Parameters

frow (int[]) – Row indices of nonzeros in the implied F matrix. (output)
fcol (int[]) – Column indices of nonzeros in the implied F matrix. (output)
fval (float[]) – Values of nonzero entries in the implied F matrix. (output)

Return

frow (int[]) – Row indices of nonzeros in the implied F matrix.
fcol (int[]) – Column indices of nonzeros in the implied F matrix.
fval (float[]) – Values of nonzero entries in the implied F matrix.

Groups

Problem data - affine conic constraints, Inspecting the task

Task.getaccgvector¶

getaccgvector(g)

getaccgvector() -> (g)

If the AFEs are passed out of sequence to the ACCs, then this function can be used to obtain the vector \(g\) of constant terms used within the ACCs.

Parameters: g (float[]) – The \(g\) used within the ACCs as a dense vector. The length is sum of the dimensions of the ACCs. (output)
Return: g (float[]) – The \(g\) used within the ACCs as a dense vector. The length is sum of the dimensions of the ACCs.
Groups: Inspecting the task, Problem data - affine conic constraints

Task.getaccn¶

getaccn(accidx) -> (n)

Obtains the dimension of the affine conic constraint.

Parameters: accidx (int) – The index of the affine conic constraint. (input)
Return: n (int) – The dimension of the affine conic constraint (equal to the dimension of its domain).
Groups: Problem data - affine conic constraints, Inspecting the task

Task.getaccname¶

getaccname(accidx) -> (name)

Obtains the name of an affine conic constraint.

Parameters: accidx (int) – Index of an affine conic constraint. (input)
Return: name (str) – Returns the required name.
Groups: Names, Problem data - affine conic constraints, Inspecting the task

Task.getaccnamelen¶

getaccnamelen(accidx) -> (len)

Obtains the length of the name of an affine conic constraint.

Parameters: accidx (int) – Index of an affine conic constraint. (input)
Return: len (int) – Returns the length of the indicated name.
Groups: Names, Problem data - affine conic constraints, Inspecting the task

Task.getaccntot¶

getaccntot() -> (n)

Obtains the total dimension of all affine conic constraints (the sum of all their dimensions).

Return: n (int) – The total dimension of all affine conic constraints.
Groups: Problem data - affine conic constraints, Inspecting the task

Task.getaccs¶

getaccs(domidxlist,afeidxlist,b)

getaccs() -> (domidxlist,afeidxlist,b)

Obtains full data of all affine conic constraints. The output array domainidxlist must have at least length determined by Task.getnumacc. The output arrays afeidxlist and b must have at least length determined by Task.getaccntot.

Parameters

domidxlist (int[]) – The list of domains appearing in all affine conic constraints. (output)
afeidxlist (int[]) – The concatenation of index lists of affine expressions appearing in all affine conic constraints. (output)
b (float[]) – The concatenation of vectors b appearing in all affine conic constraints. (output)

Return

domidxlist (int[]) – The list of domains appearing in all affine conic constraints.
afeidxlist (int[]) – The concatenation of index lists of affine expressions appearing in all affine conic constraints.
b (float[]) – The concatenation of vectors b appearing in all affine conic constraints.

Groups

Problem data - affine conic constraints, Inspecting the task

Task.getacol¶

getacol(j,subj,valj) -> (nzj)

getacol(j) -> (nzj,subj,valj)

Obtains one column of \(A\) in a sparse format.

Parameters

j (int) – Index of the column. (input)
subj (int[]) – Row indices of the non-zeros in the column obtained. (output)
valj (float[]) – Numerical values in the column obtained. (output)

Return

nzj (int) – Number of non-zeros in the column obtained.
subj (int[]) – Row indices of the non-zeros in the column obtained.
valj (float[]) – Numerical values in the column obtained.

Groups

Task.getacolnumnz¶

getacolnumnz(i) -> (nzj)

Obtains the number of non-zero elements in one column of \(A\).

Parameters: i (int) – Index of the column. (input)
Return: nzj (int) – Number of non-zeros in the \(j\)-th column of \(A\).
Groups: Problem data - linear part, Inspecting the task

Task.getacolslice¶

getacolslice(first,last,ptrb,ptre,sub,val)

getacolslice(first,last) -> (ptrb,ptre,sub,val)

Obtains a sequence of columns from \(A\) in sparse format.

Parameters

first (int) – Index of the first column in the sequence. (input)
last (int) – Index of the last column in the sequence plus one. (input)
ptrb (int[]) – ptrb[t] is an index pointing to the first element in the \(t\)-th column obtained. (output)
ptre (int[]) – ptre[t] is an index pointing to the last element plus one in the \(t\)-th column obtained. (output)
sub (int[]) – Contains the row subscripts. (output)
val (float[]) – Contains the coefficient values. (output)

Return

ptrb (int[]) – ptrb[t] is an index pointing to the first element in the \(t\)-th column obtained.
ptre (int[]) – ptre[t] is an index pointing to the last element plus one in the \(t\)-th column obtained.
sub (int[]) – Contains the row subscripts.
val (float[]) – Contains the coefficient values.

Groups

Task.getacolslicenumnz¶

getacolslicenumnz(first,last) -> (numnz)

Obtains the number of non-zeros in a slice of columns of \(A\).

Parameters

first (int) – Index of the first column in the sequence. (input)
last (int) – Index of the last column plus one in the sequence. (input)

Return

numnz (int) – Number of non-zeros in the slice.

Groups

Task.getacolslicetrip¶

getacolslicetrip(first,last,subi,subj,val)

getacolslicetrip(first,last) -> (subi,subj,val)

Obtains a sequence of columns from \(A\) in sparse triplet format. The function returns the content of all columns whose index j satisfies first <= j < last. The triplets corresponding to nonzero entries are stored in the arrays subi, subj and val.

Parameters

first (int) – Index of the first column in the sequence. (input)
last (int) – Index of the last column in the sequence plus one. (input)
subi (int[]) – Constraint subscripts. (output)
subj (int[]) – Column subscripts. (output)
val (float[]) – Values. (output)

Return

subi (int[]) – Constraint subscripts.
subj (int[]) – Column subscripts.
val (float[]) – Values.

Groups

Problem data - affine expressions, Problem data - semidefinite

Task.getafebarfblocktriplet¶

getafebarfblocktriplet(afeidx,barvaridx,subk,subl,valkl) -> (numtrip)

getafebarfblocktriplet() ->
                      (numtrip,
                       afeidx,
                       barvaridx,
                       subk,
                       subl,
                       valkl)

Obtains \(\barF\) in block triplet form.

Parameters

afeidx (int[]) – Constraint index. (output)
barvaridx (int[]) – Symmetric matrix variable index. (output)
subk (int[]) – Block row index. (output)
subl (int[]) – Block column index. (output)
valkl (float[]) – The numerical value associated with each block triplet. (output)

Return

numtrip (int) – Number of elements in the block triplet form.
afeidx (int[]) – Constraint index.
barvaridx (int[]) – Symmetric matrix variable index.
subk (int[]) – Block row index.
subl (int[]) – Block column index.
valkl (float[]) – The numerical value associated with each block triplet.

Groups

Task.getafebarfnumblocktriplets¶

getafebarfnumblocktriplets() -> (numtrip)

Obtains an upper bound on the number of elements in the block triplet form of \(\barF\).

Return: numtrip (int) – An upper bound on the number of elements in the block triplet form of \(\barF.\)
Groups: Problem data - semidefinite, Inspecting the task

Task.getafebarfnumrowentries¶

getafebarfnumrowentries(afeidx) -> (numentr)

Obtains the number of nonzero entries in one row of \(\barF\), that is the number of \(j\) such that \(\barF_{\mathrm{afeidx},j}\) is not the zero matrix.

Parameters: afeidx (int) – Row index of \(\barF\). (input)
Return: numentr (int) – Number of nonzero entries in a row of \(\barF\).
Groups: Problem data - affine expressions, Problem data - semidefinite, Inspecting the task

Task.getafebarfrow¶

getafebarfrow(afeidx,
              barvaridx,
              ptrterm,
              numterm,
              termidx,
              termweight)

getafebarfrow(afeidx) ->
             (barvaridx,
              ptrterm,
              numterm,
              termidx,
              termweight)

Obtains all nonzero entries in one row \(\barF_{\mathrm{afeidx},*}\) of \(\barF\). For every \(k\) there is a nonzero entry \(\barF_{\mathrm{afeidx}, \mathrm{barvaridx}[k]}\), which is represented as a weighted sum of \(\mathrm{numterm}[k]\) terms. The indices in the matrix store \(E\) and their weights for the \(k\)-th entry appear in the arrays termidx and termweight in positions

\[\mathrm{ptrterm}[k],\ldots,\mathrm{ptrterm}[k]+(\mathrm{numterm}[k]-1).\]

The arrays should be long enough to accommodate the data; their required lengths can be obtained with Task.getafebarfrowinfo.

Parameters

afeidx (int) – Row index of \(\barF\). (input)
barvaridx (int[]) – Semidefinite variable indices of nonzero entries in the row of \(\barF\). (output)
ptrterm (int[]) – Pointers to the start of each entry’s description. (output)
numterm (int[]) – Number of terms in the weighted sum representation of each entry. (output)
termidx (int[]) – Indices of semidefinite matrices from the matrix store \(E\). (output)
termweight (float[]) – Weights appearing in the weighted sum representations of all entries. (output)

Return

barvaridx (int[]) – Semidefinite variable indices of nonzero entries in the row of \(\barF\).
ptrterm (int[]) – Pointers to the start of each entry’s description.
numterm (int[]) – Number of terms in the weighted sum representation of each entry.
termidx (int[]) – Indices of semidefinite matrices from the matrix store \(E\).
termweight (float[]) – Weights appearing in the weighted sum representations of all entries.

Groups

Problem data - affine expressions, Problem data - semidefinite, Inspecting the task

Task.getafebarfrowinfo¶

getafebarfrowinfo(afeidx) -> (numentr,numterm)

Obtains information about one row of \(\barF\): the number of nonzero entries, that is the number of \(j\) such that \(\barF_{\mathrm{afeidx},j}\) is not the zero matrix, as well as the total number of terms in the representations of all these entries as weighted sums of matrices from \(E\). This information provides the data sizes required for a call to Task.getafebarfrow.

Parameters

afeidx (int) – Row index of \(\barF\). (input)

Return

numentr (int) – Number of nonzero entries in a row of \(\barF\).
numterm (int) – Number of terms in the weighted sums representation of the row of \(\barF\).

Groups

Problem data - affine expressions, Problem data - semidefinite, Inspecting the task

Task.getafefnumnz¶

getafefnumnz() -> (numnz)

Obtains the total number of nonzeros in \(F\).

Return: numnz (int) – Number of non-zeros in \(F\).
Groups: Problem data - affine expressions, Inspecting the task

Task.getafefrow¶

getafefrow(afeidx,varidx,val) -> (numnz)

getafefrow(afeidx) -> (numnz,varidx,val)

Obtains one row of \(F\) in sparse format.

Parameters

afeidx (int) – Index of a row in \(F\). (input)
varidx (int[]) – Column indices of the non-zeros in the row obtained. (output)
val (float[]) – Values of the non-zeros in the row obtained. (output)

Return

numnz (int) – Number of non-zeros in the row obtained.
varidx (int[]) – Column indices of the non-zeros in the row obtained.
val (float[]) – Values of the non-zeros in the row obtained.

Groups

Problem data - affine expressions, Inspecting the task

Task.getafefrownumnz¶

getafefrownumnz(afeidx) -> (numnz)

Obtains the number of nonzeros in one row of \(F\).

Parameters: afeidx (int) – Index of a row in \(F\). (input)
Return: numnz (int) – Number of non-zeros in row afeidx of \(F\).
Groups: Problem data - affine expressions, Inspecting the task

Task.getafeftrip¶

getafeftrip(afeidx,varidx,val)

getafeftrip() -> (afeidx,varidx,val)

Obtains the \(F\) in triplet format.

Parameters

afeidx (int[]) – Row indices of nonzeros. (output)
varidx (int[]) – Column indices of nonzeros. (output)
val (float[]) – Values of nonzero entries. (output)

Return

afeidx (int[]) – Row indices of nonzeros.
varidx (int[]) – Column indices of nonzeros.
val (float[]) – Values of nonzero entries.

Groups

Problem data - affine expressions, Inspecting the task

Task.getafeg¶

getafeg(afeidx) -> (g)

Obtains a single coefficient in \(g\).

Parameters: afeidx (int) – Index of an element in \(g\). (input)
Return: g (float) – The value of \(g_{\mathrm{afeidx}}\).
Groups: Problem data - affine expressions, Inspecting the task

Task.getafegslice¶

getafegslice(first,last,g)

getafegslice(first,last) -> (g)

Obtains a sequence of elements from the vector \(g\) of constant terms in the affine expressions list.

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
g (float[]) – The slice \(g\) as a dense vector. The length is last-first. (output)

Return

g (float[]) – The slice \(g\) as a dense vector. The length is last-first.

Groups

Inspecting the task, Problem data - affine expressions

Task.getaij¶

getaij(i,j) -> (aij)

Obtains a single coefficient in \(A\).

Parameters

i (int) – Row index of the coefficient to be returned. (input)
j (int) – Column index of the coefficient to be returned. (input)

Return

aij (float) – The required coefficient \(a_{i,j}\).

Groups

Task.getapiecenumnz¶

getapiecenumnz(firsti,lasti,firstj,lastj) -> (numnz)

Obtains the number non-zeros in a rectangular piece of \(A\), i.e. the number of elements in the set

\[\{ (i,j)~:~ a_{i,j} \neq 0,~ \mathtt{firsti} \leq i \leq \mathtt{lasti}-1, ~\mathtt{firstj} \leq j \leq \mathtt{lastj}-1\}\]

This function is not an efficient way to obtain the number of non-zeros in one row or column. In that case use the function Task.getarownumnz or Task.getacolnumnz.

Parameters

firsti (int) – Index of the first row in the rectangular piece. (input)
lasti (int) – Index of the last row plus one in the rectangular piece. (input)
firstj (int) – Index of the first column in the rectangular piece. (input)
lastj (int) – Index of the last column plus one in the rectangular piece. (input)

Return

numnz (int) – Number of non-zero \(A\) elements in the rectangular piece.

Groups

Task.getarow¶

getarow(i,subi,vali) -> (nzi)

getarow(i) -> (nzi,subi,vali)

Obtains one row of \(A\) in a sparse format.

Parameters

i (int) – Index of the row. (input)
subi (int[]) – Column indices of the non-zeros in the row obtained. (output)
vali (float[]) – Numerical values of the row obtained. (output)

Return

nzi (int) – Number of non-zeros in the row obtained.
subi (int[]) – Column indices of the non-zeros in the row obtained.
vali (float[]) – Numerical values of the row obtained.

Groups

Task.getarownumnz¶

getarownumnz(i) -> (nzi)

Obtains the number of non-zero elements in one row of \(A\).

Parameters: i (int) – Index of the row. (input)
Return: nzi (int) – Number of non-zeros in the \(i\)-th row of \(A\).
Groups: Problem data - linear part, Inspecting the task

Task.getarowslice¶

getarowslice(first,last,ptrb,ptre,sub,val)

getarowslice(first,last) -> (ptrb,ptre,sub,val)

Obtains a sequence of rows from \(A\) in sparse format.

Parameters

first (int) – Index of the first row in the sequence. (input)
last (int) – Index of the last row in the sequence plus one. (input)
ptrb (int[]) – ptrb[t] is an index pointing to the first element in the \(t\)-th row obtained. (output)
ptre (int[]) – ptre[t] is an index pointing to the last element plus one in the \(t\)-th row obtained. (output)
sub (int[]) – Contains the column subscripts. (output)
val (float[]) – Contains the coefficient values. (output)

Return

ptrb (int[]) – ptrb[t] is an index pointing to the first element in the \(t\)-th row obtained.
ptre (int[]) – ptre[t] is an index pointing to the last element plus one in the \(t\)-th row obtained.
sub (int[]) – Contains the column subscripts.
val (float[]) – Contains the coefficient values.

Groups

Task.getarowslicenumnz¶

getarowslicenumnz(first,last) -> (numnz)

Obtains the number of non-zeros in a slice of rows of \(A\).

Parameters

first (int) – Index of the first row in the sequence. (input)
last (int) – Index of the last row plus one in the sequence. (input)

Return

numnz (int) – Number of non-zeros in the slice.

Groups

Task.getarowslicetrip¶

getarowslicetrip(first,last,subi,subj,val)

getarowslicetrip(first,last) -> (subi,subj,val)

Obtains a sequence of rows from \(A\) in sparse triplet format. The function returns the content of all rows whose index i satisfies first <= i < last. The triplets corresponding to nonzero entries are stored in the arrays subi, subj and val.

Parameters

first (int) – Index of the first row in the sequence. (input)
last (int) – Index of the last row in the sequence plus one. (input)
subi (int[]) – Constraint subscripts. (output)
subj (int[]) – Column subscripts. (output)
val (float[]) – Values. (output)

Return

subi (int[]) – Constraint subscripts.
subj (int[]) – Column subscripts.
val (float[]) – Values.

Groups

Task.getatrip¶

getatrip(subi,subj,val)

getatrip() -> (subi,subj,val)

Obtains \(A\) in sparse triplet format. The triplets corresponding to nonzero entries are stored in the arrays subi, subj and val.

Parameters

subi (int[]) – Constraint subscripts. (output)
subj (int[]) – Column subscripts. (output)
val (float[]) – Values. (output)

Return

subi (int[]) – Constraint subscripts.
subj (int[]) – Column subscripts.
val (float[]) – Values.

Groups

Task.getatruncatetol¶

getatruncatetol(tolzero)

getatruncatetol() -> (tolzero)

Obtains the tolerance value set with Task.putatruncatetol.

Parameters: tolzero (float[]) – All elements \(|a_{i,j}|\) less than this tolerance is truncated to zero. (output)
Return: tolzero (float[]) – All elements \(|a_{i,j}|\) less than this tolerance is truncated to zero.
Groups: Parameters, Problem data - linear part

Task.getbarablocktriplet¶

getbarablocktriplet(subi,subj,subk,subl,valijkl) -> (num)

getbarablocktriplet() -> (num,subi,subj,subk,subl,valijkl)

Obtains \(\barA\) in block triplet form.

Parameters

subi (int[]) – Constraint index. (output)
subj (int[]) – Symmetric matrix variable index. (output)
subk (int[]) – Block row index. (output)
subl (int[]) – Block column index. (output)
valijkl (float[]) – The numerical value associated with each block triplet. (output)

Return

num (int) – Number of elements in the block triplet form.
subi (int[]) – Constraint index.
subj (int[]) – Symmetric matrix variable index.
subk (int[]) – Block row index.
subl (int[]) – Block column index.
valijkl (float[]) – The numerical value associated with each block triplet.

Groups

Task.getbaraidx¶

getbaraidx(idx,sub,weights) -> (i,j,num)

getbaraidx(idx) -> (i,j,num,sub,weights)

Obtains information about an element in \(\barA\). Since \(\barA\) is a sparse matrix of symmetric matrices, only the nonzero elements in \(\barA\) are stored in order to save space. Now \(\barA\) is stored vectorized i.e. as one long vector. This function makes it possible to obtain information such as the row index and the column index of a particular element of the vectorized form of \(\barA\).

Please observe if one element of \(\barA\) is inputted multiple times then it may be stored several times in vectorized form. In that case the element with the highest index is the one that is used.

Parameters

idx (int) – Position of the element in the vectorized form. (input)
sub (int[]) – A list indexes of the elements from symmetric matrix storage that appear in the weighted sum. (output)
weights (float[]) – The weights associated with each term in the weighted sum. (output)

Return

i (int) – Row index of the element at position idx.
j (int) – Column index of the element at position idx.
num (int) – Number of terms in weighted sum that forms the element.
sub (int[]) – A list indexes of the elements from symmetric matrix storage that appear in the weighted sum.
weights (float[]) – The weights associated with each term in the weighted sum.

Groups

Task.getbaraidxij¶

getbaraidxij(idx) -> (i,j)

Obtains information about an element in \(\barA\). Since \(\barA\) is a sparse matrix of symmetric matrices, only the nonzero elements in \(\barA\) are stored in order to save space. Now \(\barA\) is stored vectorized i.e. as one long vector. This function makes it possible to obtain information such as the row index and the column index of a particular element of the vectorized form of \(\barA\).

Please note that if one element of \(\barA\) is inputted multiple times then it may be stored several times in vectorized form. In that case the element with the highest index is the one that is used.

Parameters

idx (int) – Position of the element in the vectorized form. (input)

Return

i (int) – Row index of the element at position idx.
j (int) – Column index of the element at position idx.

Groups

Task.getbaraidxinfo¶

getbaraidxinfo(idx) -> (num)

Each nonzero element in \(\barA_{ij}\) is formed as a weighted sum of symmetric matrices. Using this function the number of terms in the weighted sum can be obtained. See description of Task.appendsparsesymmat for details about the weighted sum.

Parameters: idx (int) – The internal position of the element for which information should be obtained. (input)
Return: num (int) – Number of terms in the weighted sum that form the specified element in \(\barA\).
Groups: Problem data - semidefinite, Inspecting the task

Task.getbarasparsity¶

getbarasparsity(idxij) -> (numnz)

getbarasparsity() -> (numnz,idxij)

The matrix \(\barA\) is assumed to be a sparse matrix of symmetric matrices. This implies that many of the elements in \(\barA\) are likely to be zero matrices. Therefore, in order to save space, only nonzero elements in \(\barA\) are stored on vectorized form. This function is used to obtain the sparsity pattern of \(\barA\) and the position of each nonzero element in the vectorized form of \(\barA\). From the index detailed information about each nonzero \(\barA_{i,j}\) can be obtained using Task.getbaraidxinfo and Task.getbaraidx.

Parameters

idxij (int[]) – Position of each nonzero element in the vectorized form of \(\barA\). (output)

Return

numnz (int) – Number of nonzero elements in \(\barA\).
idxij (int[]) – Position of each nonzero element in the vectorized form of \(\barA\).

Groups

Task.getbarcblocktriplet¶

getbarcblocktriplet(subj,subk,subl,valjkl) -> (num)

getbarcblocktriplet() -> (num,subj,subk,subl,valjkl)

Obtains \(\barC\) in block triplet form.

Parameters

subj (int[]) – Symmetric matrix variable index. (output)
subk (int[]) – Block row index. (output)
subl (int[]) – Block column index. (output)
valjkl (float[]) – The numerical value associated with each block triplet. (output)

Return

num (int) – Number of elements in the block triplet form.
subj (int[]) – Symmetric matrix variable index.
subk (int[]) – Block row index.
subl (int[]) – Block column index.
valjkl (float[]) – The numerical value associated with each block triplet.

Groups

Task.getbarcidx¶

getbarcidx(idx,sub,weights) -> (j,num)

getbarcidx(idx) -> (j,num,sub,weights)

Obtains information about an element in \(\barC\).

Parameters

idx (int) – Index of the element for which information should be obtained. (input)
sub (int[]) – Elements appearing the weighted sum. (output)
weights (float[]) – Weights of terms in the weighted sum. (output)

Return

j (int) – Row index in \(\barC\).
num (int) – Number of terms in the weighted sum.
sub (int[]) – Elements appearing the weighted sum.
weights (float[]) – Weights of terms in the weighted sum.

Groups

Task.getbarcidxinfo¶

getbarcidxinfo(idx) -> (num)

Obtains the number of terms in the weighted sum that forms a particular element in \(\barC\).

Parameters: idx (int) – Index of the element for which information should be obtained. The value is an index of a symmetric sparse variable. (input)
Return: num (int) – Number of terms that appear in the weighted sum that forms the requested element.
Groups: Problem data - semidefinite, Inspecting the task

Task.getbarcidxj¶

getbarcidxj(idx) -> (j)

Obtains the row index of an element in \(\barC\).

Parameters: idx (int) – Index of the element for which information should be obtained. (input)
Return: j (int) – Row index in \(\barC\).
Groups: Problem data - semidefinite, Inspecting the task

Task.getbarcsparsity¶

getbarcsparsity(idxj) -> (numnz)

getbarcsparsity() -> (numnz,idxj)

Internally only the nonzero elements of \(\barC\) are stored in a vector. This function is used to obtain the nonzero elements of \(\barC\) and their indexes in the internal vector representation (in idx). From the index detailed information about each nonzero \(\barC_j\) can be obtained using Task.getbarcidxinfo and Task.getbarcidx.

Parameters

idxj (int[]) – Internal positions of the nonzeros elements in \(\barC\). (output)

Return

numnz (int) – Number of nonzero elements in \(\barC\).
idxj (int[]) – Internal positions of the nonzeros elements in \(\barC\).

Groups

Task.getbarsj¶

getbarsj(whichsol,j,barsj)

getbarsj(whichsol,j) -> (barsj)

Obtains the dual solution for a semidefinite variable. Only the lower triangular part of \(\barS_j\) is returned because the matrix by construction is symmetric. The format is that the columns are stored sequentially in the natural order.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
j (int) – Index of the semidefinite variable. (input)
barsj (float[]) – Value of \(\barS_j\). (output)

Return

barsj (float[]) – Value of \(\barS_j\).

Groups

Task.getbarsslice¶

getbarsslice(whichsol,first,last,slicesize,barsslice)

getbarsslice(whichsol,first,last,slicesize) -> (barsslice)

Obtains the dual solution for a sequence of semidefinite variables. The format is that matrices are stored sequentially, and in each matrix the columns are stored as in Task.getbarsj.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – Index of the first semidefinite variable in the slice. (input)
last (int) – Index of the last semidefinite variable in the slice plus one. (input)
slicesize (int) – Denotes the length of the array barsslice. (input)
barsslice (float[]) – Dual solution values of symmetric matrix variables in the slice, stored sequentially. (output)

Return

barsslice (float[]) – Dual solution values of symmetric matrix variables in the slice, stored sequentially.

Groups

Names, Inspecting the task

Task.getbarvarname¶

getbarvarname(i) -> (name)

Obtains the name of a semidefinite variable.

Parameters: i (int) – Index of the variable. (input)
Return: name (str) – The requested name is copied to this buffer.
Groups: Names, Inspecting the task

Task.getbarvarnameindex¶

getbarvarnameindex(somename) -> (asgn,index)

Obtains the index of semidefinite variable from its name.

Parameters

somename (str) – The name of the variable. (input)

Return

asgn (int) – Non-zero if the name somename is assigned to some semidefinite variable.
index (int) – The index of a semidefinite variable with the name somename (if one exists).

Groups

Task.getbarvarnamelen¶

getbarvarnamelen(i) -> (len)

Obtains the length of the name of a semidefinite variable.

Parameters: i (int) – Index of the variable. (input)
Return: len (int) – Returns the length of the indicated name.
Groups: Names, Inspecting the task

Task.getbarxj¶

getbarxj(whichsol,j,barxj)

getbarxj(whichsol,j) -> (barxj)

Obtains the primal solution for a semidefinite variable. Only the lower triangular part of \(\barX_j\) is returned because the matrix by construction is symmetric. The format is that the columns are stored sequentially in the natural order.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
j (int) – Index of the semidefinite variable. (input)
barxj (float[]) – Value of \(\barX_j\). (output)

Return

barxj (float[]) – Value of \(\barX_j\).

Groups

Task.getbarxslice¶

getbarxslice(whichsol,first,last,slicesize,barxslice)

getbarxslice(whichsol,first,last,slicesize) -> (barxslice)

Obtains the primal solution for a sequence of semidefinite variables. The format is that matrices are stored sequentially, and in each matrix the columns are stored as in Task.getbarxj.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – Index of the first semidefinite variable in the slice. (input)
last (int) – Index of the last semidefinite variable in the slice plus one. (input)
slicesize (int) – Denotes the length of the array barxslice. (input)
barxslice (float[]) – Solution values of symmetric matrix variables in the slice, stored sequentially. (output)

Return

barxslice (float[]) – Solution values of symmetric matrix variables in the slice, stored sequentially.

Groups

Inspecting the task, Problem data - linear part

Task.getc¶

getc(c)

getc() -> (c)

Obtains all objective coefficients \(c\).

Parameters: c (float[]) – Linear terms of the objective as a dense vector. The length is the number of variables. (output)
Return: c (float[]) – Linear terms of the objective as a dense vector. The length is the number of variables.
Groups: Problem data - linear part, Inspecting the task, Problem data - variables

Task.getcfix¶

getcfix() -> (cfix)

Obtains the fixed term in the objective.

Return: cfix (float) – Fixed term in the objective.
Groups: Problem data - linear part, Inspecting the task

Task.getcj¶

getcj(j) -> (cj)

Obtains one coefficient of \(c\).

Parameters: j (int) – Index of the variable for which the \(c\) coefficient should be obtained. (input)
Return: cj (float) – The value of \(c_j\).
Groups: Problem data - linear part, Inspecting the task, Problem data - variables

Task.getclist¶

getclist(subj,c)

getclist(subj) -> (c)

Obtains a sequence of elements in \(c\).

Parameters

subj (int[]) – A list of variable indexes. (input)
c (float[]) – Linear terms of the requested list of the objective as a dense vector. (output)

Return

c (float[]) – Linear terms of the requested list of the objective as a dense vector.

Groups

Task.getconbound¶

getconbound(i) -> (bk,bl,bu)

Obtains bound information for one constraint.

Parameters

i (int) – Index of the constraint for which the bound information should be obtained. (input)

Return

bk (mosek.boundkey) – Bound keys.
bl (float) – Values for lower bounds.
bu (float) – Values for upper bounds.

Groups

Problem data - linear part, Inspecting the task, Problem data - bounds, Problem data - constraints

Task.getconboundslice¶

getconboundslice(first,last,bk,bl,bu)

getconboundslice(first,last) -> (bk,bl,bu)

Obtains bounds information for a slice of the constraints.

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
bk (mosek.boundkey[]) – Bound keys. (output)
bl (float[]) – Values for lower bounds. (output)
bu (float[]) – Values for upper bounds. (output)

Return

bk (mosek.boundkey[]) – Bound keys.
bl (float[]) – Values for lower bounds.
bu (float[]) – Values for upper bounds.

Groups

Problem data - linear part, Inspecting the task, Problem data - bounds, Problem data - constraints

Task.getcone Deprecated¶

getcone(k,submem) -> (ct,conepar,nummem)

getcone(k) -> (ct,conepar,nummem,submem)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Parameters

k (int) – Index of the cone. (input)
submem (int[]) – Variable subscripts of the members in the cone. (output)

Return

ct (mosek.conetype) – Specifies the type of the cone.
conepar (float) – For the power cone it denotes the exponent alpha. For other cone types it is unused and can be set to 0.
nummem (int) – Number of member variables in the cone.
submem (int[]) – Variable subscripts of the members in the cone.

Groups

Inspecting the task, Problem data - cones (deprecated)

Task.getconeinfo Deprecated¶

getconeinfo(k) -> (ct,conepar,nummem)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Parameters

k (int) – Index of the cone. (input)

Return

ct (mosek.conetype) – Specifies the type of the cone.
conepar (float) – For the power cone it denotes the exponent alpha. For other cone types it is unused and can be set to 0.
nummem (int) – Number of member variables in the cone.

Groups

Inspecting the task, Problem data - cones (deprecated)

Task.getconename Deprecated¶

getconename(i) -> (name)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Parameters: i (int) – Index of the cone. (input)
Return: name (str) – The required name.
Groups: Names, Problem data - cones (deprecated), Inspecting the task

Task.getconenameindex Deprecated¶

getconenameindex(somename) -> (asgn,index)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Checks whether the name somename has been assigned to any cone. If it has been assigned to a cone, then the index of the cone is reported.

Parameters

somename (str) – The name which should be checked. (input)

Return

asgn (int) – Is non-zero if the name somename is assigned to some cone.
index (int) – If the name somename is assigned to some cone, then index is the index of the cone.

Groups

Names, Problem data - cones (deprecated), Inspecting the task

Task.getconenamelen Deprecated¶

getconenamelen(i) -> (len)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Parameters: i (int) – Index of the cone. (input)
Return: len (int) – Returns the length of the indicated name.
Groups: Names, Problem data - cones (deprecated), Inspecting the task

Task.getconname¶

getconname(i) -> (name)

Obtains the name of a constraint.

Parameters: i (int) – Index of the constraint. (input)
Return: name (str) – The required name.
Groups: Names, Problem data - linear part, Problem data - constraints, Inspecting the task

Task.getconnameindex¶

getconnameindex(somename) -> (asgn,index)

Checks whether the name somename has been assigned to any constraint. If so, the index of the constraint is reported.

Parameters

somename (str) – The name which should be checked. (input)

Return

asgn (int) – Is non-zero if the name somename is assigned to some constraint.
index (int) – If the name somename is assigned to a constraint, then index is the index of the constraint.

Groups

Names, Problem data - linear part, Problem data - constraints, Inspecting the task

Task.getconnamelen¶

getconnamelen(i) -> (len)

Obtains the length of the name of a constraint.

Parameters: i (int) – Index of the constraint. (input)
Return: len (int) – Returns the length of the indicated name.
Groups: Names, Problem data - linear part, Problem data - constraints, Inspecting the task

Task.getcslice¶

getcslice(first,last,c)

getcslice(first,last) -> (c)

Obtains a sequence of elements in \(c\).

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
c (float[]) – Linear terms of the requested slice of the objective as a dense vector. The length is last-first. (output)

Return

c (float[]) – Linear terms of the requested slice of the objective as a dense vector. The length is last-first.

Groups

Inspecting the task, Problem data - linear part

Task.getdimbarvarj¶

getdimbarvarj(j) -> (dimbarvarj)

Obtains the dimension of a symmetric matrix variable.

Parameters: j (int) – Index of the semidefinite variable whose dimension is requested. (input)
Return: dimbarvarj (int) – The dimension of the \(j\)-th semidefinite variable.
Groups: Inspecting the task, Problem data - semidefinite

Task.getdjcafeidxlist¶

getdjcafeidxlist(djcidx,afeidxlist)

getdjcafeidxlist(djcidx) -> (afeidxlist)

Obtains the list of affine expression indexes in a disjunctive constraint.

Parameters

djcidx (int) – Index of the disjunctive constraint. (input)
afeidxlist (int[]) – List of affine expression indexes. (output)

Return

afeidxlist (int[]) – List of affine expression indexes.

Groups

Problem data - disjunctive constraints, Inspecting the task

Task.getdjcb¶

getdjcb(djcidx,b)

getdjcb(djcidx) -> (b)

Obtains the optional constant term vector of a disjunctive constraint.

Parameters

djcidx (int) – Index of the disjunctive constraint. (input)
b (float[]) – The vector b. (output)

Return

b (float[]) – The vector b.

Groups

Problem data - disjunctive constraints, Inspecting the task

Task.getdjcdomainidxlist¶

getdjcdomainidxlist(djcidx,domidxlist)

getdjcdomainidxlist(djcidx) -> (domidxlist)

Obtains the list of domain indexes in a disjunctive constraint.

Parameters

djcidx (int) – Index of the disjunctive constraint. (input)
domidxlist (int[]) – List of term sizes. (output)

Return

domidxlist (int[]) – List of term sizes.

Groups

Problem data - disjunctive constraints, Inspecting the task

Task.getdjcname¶

getdjcname(djcidx) -> (name)

Obtains the name of a disjunctive constraint.

Parameters: djcidx (int) – Index of a disjunctive constraint. (input)
Return: name (str) – Returns the required name.
Groups: Names, Problem data - disjunctive constraints, Inspecting the task

Task.getdjcnamelen¶

getdjcnamelen(djcidx) -> (len)

Obtains the length of the name of a disjunctive constraint.

Parameters: djcidx (int) – Index of a disjunctive constraint. (input)
Return: len (int) – Returns the length of the indicated name.
Groups: Names, Problem data - disjunctive constraints, Inspecting the task

Task.getdjcnumafe¶

getdjcnumafe(djcidx) -> (numafe)

Obtains the number of affine expressions in the disjunctive constraint.

Parameters: djcidx (int) – Index of the disjunctive constraint. (input)
Return: numafe (int) – Number of affine expressions in the disjunctive constraint.
Groups: Problem data - disjunctive constraints, Inspecting the task

Task.getdjcnumafetot¶

getdjcnumafetot() -> (numafetot)

Obtains the total number of affine expressions in all disjunctive constraints.

Return: numafetot (int) – Number of affine expressions in all disjunctive constraints.
Groups: Problem data - disjunctive constraints, Inspecting the task

Task.getdjcnumdomain¶

getdjcnumdomain(djcidx) -> (numdomain)

Obtains the number of domains in the disjunctive constraint.

Parameters: djcidx (int) – Index of the disjunctive constraint. (input)
Return: numdomain (int) – Number of domains in the disjunctive constraint.
Groups: Problem data - disjunctive constraints, Inspecting the task

Task.getdjcnumdomaintot¶

getdjcnumdomaintot() -> (numdomaintot)

Obtains the total number of domains in all disjunctive constraints.

Return: numdomaintot (int) – Number of domains in all disjunctive constraints.
Groups: Problem data - disjunctive constraints, Inspecting the task

Task.getdjcnumterm¶

getdjcnumterm(djcidx) -> (numterm)

Obtains the number terms in the disjunctive constraint.

Parameters: djcidx (int) – Index of the disjunctive constraint. (input)
Return: numterm (int) – Number of terms in the disjunctive constraint.
Groups: Problem data - disjunctive constraints, Inspecting the task

Task.getdjcnumtermtot¶

getdjcnumtermtot() -> (numtermtot)

Obtains the total number of terms in all disjunctive constraints.

Return: numtermtot (int) – Total number of terms in all disjunctive constraints.
Groups: Problem data - disjunctive constraints, Inspecting the task

Task.getdjcs¶

getdjcs(domidxlist,
        afeidxlist,
        b,
        termsizelist,
        numterms)

getdjcs() ->
       (domidxlist,
        afeidxlist,
        b,
        termsizelist,
        numterms)

Obtains full data of all disjunctive constraints. The output arrays must have minimal lengths determined by the following methods: domainidxlist by Task.getdjcnumdomaintot, afeidxlist and b by Task.getdjcnumafetot, termsizelist by Task.getdjcnumtermtot and numterms by Task.getnumdomain.

Parameters

domidxlist (int[]) – The concatenation of index lists of domains appearing in all disjunctive constraints. (output)
afeidxlist (int[]) – The concatenation of index lists of affine expressions appearing in all disjunctive constraints. (output)
b (float[]) – The concatenation of vectors b appearing in all disjunctive constraints. (output)
termsizelist (int[]) – The concatenation of lists of term sizes appearing in all disjunctive constraints. (output)
numterms (int[]) – The number of terms in each of the disjunctive constraints. (output)

Return

domidxlist (int[]) – The concatenation of index lists of domains appearing in all disjunctive constraints.
afeidxlist (int[]) – The concatenation of index lists of affine expressions appearing in all disjunctive constraints.
b (float[]) – The concatenation of vectors b appearing in all disjunctive constraints.
termsizelist (int[]) – The concatenation of lists of term sizes appearing in all disjunctive constraints.
numterms (int[]) – The number of terms in each of the disjunctive constraints.

Groups

Problem data - disjunctive constraints, Inspecting the task

Task.getdjctermsizelist¶

getdjctermsizelist(djcidx,termsizelist)

getdjctermsizelist(djcidx) -> (termsizelist)

Obtains the list of term sizes in a disjunctive constraint.

Parameters

djcidx (int) – Index of the disjunctive constraint. (input)
termsizelist (int[]) – List of term sizes. (output)

Return

termsizelist (int[]) – List of term sizes.

Groups

Problem data - disjunctive constraints, Inspecting the task

Task.getdomainn¶

getdomainn(domidx) -> (n)

Obtains the dimension of the domain.

Parameters: domidx (int) – Index of the domain. (input)
Return: n (int) – Dimension of the domain.
Groups: Problem data - domain, Inspecting the task

Task.getdomainname¶

getdomainname(domidx) -> (name)

Obtains the name of a domain.

Parameters: domidx (int) – Index of a domain. (input)
Return: name (str) – Returns the required name.
Groups: Names, Problem data - domain, Inspecting the task

Task.getdomainnamelen¶

getdomainnamelen(domidx) -> (len)

Obtains the length of the name of a domain.

Parameters: domidx (int) – Index of a domain. (input)
Return: len (int) – Returns the length of the indicated name.
Groups: Names, Problem data - domain, Inspecting the task

Task.getdomaintype¶

getdomaintype(domidx) -> (domtype)

Returns the type of the domain.

Parameters: domidx (int) – Index of the domain. (input)
Return: domtype (mosek.domaintype) – The type of the domain.
Groups: Problem data - domain, Inspecting the task

Task.getdouinf¶

getdouinf(whichdinf) -> (dvalue)

Obtains a double information item from the task information database.

Parameters: whichdinf (mosek.dinfitem) – Specifies a double information item. (input)
Return: dvalue (float) – The value of the required double information item.
Groups: Information items and statistics

Task.getdouparam¶

getdouparam(param) -> (parvalue)

Obtains the value of a double parameter.

Parameters: param (mosek.dparam) – Which parameter. (input)
Return: parvalue (float) – Parameter value.
Groups: Parameters

Task.getdualobj¶

getdualobj(whichsol) -> (dualobj)

Computes the dual objective value associated with the solution. Note that if the solution is a primal infeasibility certificate, then the fixed term in the objective value is not included.

Moreover, since there is no dual solution associated with an integer solution, an error will be reported if the dual objective value is requested for the integer solution.

Parameters: whichsol (mosek.soltype) – Selects a solution. (input)
Return: dualobj (float) – Objective value corresponding to the dual solution.
Groups: Solution information, Solution - dual

Task.getdualsolutionnorms¶

getdualsolutionnorms(whichsol) ->
                    (nrmy,
                     nrmslc,
                     nrmsuc,
                     nrmslx,
                     nrmsux,
                     nrmsnx,
                     nrmbars)

Compute norms of the dual solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)

Return

nrmy (float) – The norm of the \(y\) vector.
nrmslc (float) – The norm of the \(s_l^c\) vector.
nrmsuc (float) – The norm of the \(s_u^c\) vector.
nrmslx (float) – The norm of the \(s_l^x\) vector.
nrmsux (float) – The norm of the \(s_u^x\) vector.
nrmsnx (float) – The norm of the \(s_n^x\) vector.
nrmbars (float) – The norm of the \(\barS\) vector.

Groups

Task.getdviolacc¶

getdviolacc(whichsol,accidxlist,viol)

getdviolacc(whichsol,accidxlist) -> (viol)

Let \((s_n^x)^*\) be the value of variable \((s_n^x)\) for the specified solution. For simplicity let us assume that \(s_n^x\) is a member of a quadratic cone, then the violation is computed as follows

\[\begin{split}\left\{ \begin{array}{ll} \max(0,(\|s_n^x\|_{2:n}^*-(s_n^x)_1^*) / \sqrt{2}, & (s_n^x)^* \geq -\|(s_n^x)_{2:n}^*\|, \\ \|(s_n^x)^*\|, & \mbox{otherwise.} \end{array} \right.\end{split}\]

Both when the solution is a certificate of primal infeasibility or when it is a dual feasible solution the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
accidxlist (int[]) – An array of indexes of conic constraints. (input)
viol (float[]) – viol[k] is the violation of the dual solution associated with the conic constraint sub[k]. (output)

Return

viol (float[]) – viol[k] is the violation of the dual solution associated with the conic constraint sub[k].

Groups

Task.getdviolbarvar¶

getdviolbarvar(whichsol,sub,viol)

getdviolbarvar(whichsol,sub) -> (viol)

Let \((\barS_j)^*\) be the value of variable \(\barS_j\) for the specified solution. Then the dual violation of the solution associated with variable \(\barS_j\) is given by

\[\max(-\lambda_{\min}(\barS_j),\ 0.0).\]

Both when the solution is a certificate of primal infeasibility and when it is dual feasible solution the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of \(\barX\) variables. (input)
viol (float[]) – viol[k] is the violation of the solution for the constraint \(\barS_{\mathtt{sub}[k]} \in \PSD\). (output)

Return

viol (float[]) – viol[k] is the violation of the solution for the constraint \(\barS_{\mathtt{sub}[k]} \in \PSD\).

Groups

Task.getdviolcon¶

getdviolcon(whichsol,sub,viol)

getdviolcon(whichsol,sub) -> (viol)

The violation of the dual solution associated with the \(i\)-th constraint is computed as follows

\[\max( \rho( (s_l^c)_i^*,(b_l^c)_i ),\ \rho( (s_u^c)_i^*, -(b_u^c)_i ),\ |-y_i+(s_l^c)_i^*-(s_u^c)_i^*| )\]

where

\[\begin{split}\rho(x,l) = \left\{ \begin{array}{ll} -x, & l > -\infty , \\ |x|, & \mbox{otherwise}.\\ \end{array} \right.\end{split}\]

Both when the solution is a certificate of primal infeasibility or it is a dual feasible solution the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of constraints. (input)
viol (float[]) – viol[k] is the violation of dual solution associated with the constraint sub[k]. (output)

Return

viol (float[]) – viol[k] is the violation of dual solution associated with the constraint sub[k].

Groups

Task.getdviolcones Deprecated¶

getdviolcones(whichsol,sub,viol)

getdviolcones(whichsol,sub) -> (viol)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Let \((s_n^x)^*\) be the value of variable \((s_n^x)\) for the specified solution. For simplicity let us assume that \(s_n^x\) is a member of a quadratic cone, then the violation is computed as follows

\[\begin{split}\left\{ \begin{array}{ll} \max(0,(\|s_n^x\|_{2:n}^*-(s_n^x)_1^*) / \sqrt{2}, & (s_n^x)^* \geq -\|(s_n^x)_{2:n}^*\|, \\ \|(s_n^x)^*\|, & \mbox{otherwise.} \end{array} \right.\end{split}\]

Both when the solution is a certificate of primal infeasibility or when it is a dual feasible solution the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of conic constraints. (input)
viol (float[]) – viol[k] is the violation of the dual solution associated with the conic constraint sub[k]. (output)

Return

viol (float[]) – viol[k] is the violation of the dual solution associated with the conic constraint sub[k].

Groups

Task.getdviolvar¶

getdviolvar(whichsol,sub,viol)

getdviolvar(whichsol,sub) -> (viol)

The violation of the dual solution associated with the \(j\)-th variable is computed as follows

\[\max \left(\rho((s_l^x)_j^*,(b_l^x)_j),\ \rho((s_u^x)_j^*,-(b_u^x)_j),\ |\sum_{i=\idxbeg}^{\idxend{\mathtt{numcon}}} a_{ij} y_i+(s_l^x)_j^*-(s_u^x)_j^* - \tau c_j| \right)\]

where

\[\begin{split}\rho(x,l) = \left\{ \begin{array}{ll} -x, & l > -\infty , \\ |x|, & \mbox{otherwise} \end{array} \right.\end{split}\]

and \(\tau=0\) if the solution is a certificate of primal infeasibility and \(\tau=1\) otherwise. The formula for computing the violation is only shown for the linear case but is generalized appropriately for the more general problems. Both when the solution is a certificate of primal infeasibility or when it is a dual feasible solution the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of \(x\) variables. (input)
viol (float[]) – viol[k] is the violation of dual solution associated with the variable sub[k]. (output)

Return

viol (float[]) – viol[k] is the violation of dual solution associated with the variable sub[k].

Groups

System, memory and debugging

Task.getinfeasiblesubproblem¶

getinfeasiblesubproblem(whichsol) -> (inftask)

Given the solution is a certificate of primal or dual infeasibility then a primal or dual infeasible subproblem is obtained respectively. The subproblem tends to be much smaller than the original problem and hence it is easier to locate the infeasibility inspecting the subproblem than the original problem.

For the procedure to be useful it is important to assign meaningful names to constraints, variables etc. in the original task because those names will be duplicated in the subproblem.

The function is only applicable to linear and conic quadratic optimization problems.

For more information see Sec. 8.3 (Debugging infeasibility) and Sec. 14.2 (Automatic Repair of Infeasible Problems).

Parameters: whichsol (mosek.soltype) – Which solution to use when determining the infeasible subproblem. (input)
Return: inftask (mosek.Task) – A new task containing the infeasible subproblem.
Groups: Infeasibility diagnostic

Task.getintinf¶

getintinf(whichiinf) -> (ivalue)

Obtains an integer information item from the task information database.

Parameters: whichiinf (mosek.iinfitem) – Specifies an integer information item. (input)
Return: ivalue (int) – The value of the required integer information item.
Groups: Information items and statistics

Task.getintparam¶

getintparam(param) -> (parvalue)

Obtains the value of an integer parameter.

Parameters: param (mosek.iparam) – Which parameter. (input)
Return: parvalue (int) – Parameter value.
Groups: Parameters

Task.getlenbarvarj¶

getlenbarvarj(j) -> (lenbarvarj)

Obtains the length of the \(j\)-th semidefinite variable i.e. the number of elements in the lower triangular part.

Parameters: j (int) – Index of the semidefinite variable whose length if requested. (input)
Return: lenbarvarj (int) – Number of scalar elements in the lower triangular part of the semidefinite variable.
Groups: Inspecting the task, Problem data - semidefinite

Task.getlintinf¶

getlintinf(whichliinf) -> (ivalue)

Obtains a long integer information item from the task information database.

Parameters: whichliinf (mosek.liinfitem) – Specifies a long information item. (input)
Return: ivalue (int) – The value of the required long integer information item.
Groups: Information items and statistics

Task.getmaxnumanz¶

getmaxnumanz() -> (maxnumanz)

Obtains number of preallocated non-zeros in \(A\). When this number of non-zeros is reached MOSEK will automatically allocate more space for \(A\).

Return: maxnumanz (int) – Number of preallocated non-zero linear matrix elements.
Groups: Inspecting the task, Problem data - linear part

Task.getmaxnumbarvar¶

getmaxnumbarvar() -> (maxnumbarvar)

Obtains maximum number of symmetric matrix variables for which space is currently preallocated.

Return: maxnumbarvar (int) – Maximum number of symmetric matrix variables for which space is currently preallocated.
Groups: Inspecting the task, Problem data - semidefinite

Task.getmaxnumcon¶

getmaxnumcon() -> (maxnumcon)

Obtains the number of preallocated constraints in the optimization task. When this number of constraints is reached MOSEK will automatically allocate more space for constraints.

Return: maxnumcon (int) – Number of preallocated constraints in the optimization task.
Groups: Inspecting the task, Problem data - linear part, Problem data - constraints

Task.getmaxnumcone Deprecated¶

getmaxnumcone() -> (maxnumcone)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Obtains the number of preallocated cones in the optimization task. When this number of cones is reached MOSEK will automatically allocate space for more cones.

Return: maxnumcone (int) – Number of preallocated conic constraints in the optimization task.
Groups: Inspecting the task, Problem data - cones (deprecated)

Task.getmaxnumqnz¶

getmaxnumqnz() -> (maxnumqnz)

Obtains the number of preallocated non-zeros for \(Q\) (both objective and constraints). When this number of non-zeros is reached MOSEK will automatically allocate more space for \(Q\).

Return: maxnumqnz (int) – Number of non-zero elements preallocated in quadratic coefficient matrices.
Groups: Inspecting the task, Problem data - quadratic part

Task.getmaxnumvar¶

getmaxnumvar() -> (maxnumvar)

Obtains the number of preallocated variables in the optimization task. When this number of variables is reached MOSEK will automatically allocate more space for variables.

Return: maxnumvar (int) – Number of preallocated variables in the optimization task.
Groups: Inspecting the task, Problem data - linear part, Problem data - variables

Task.getmemusage¶

getmemusage() -> (meminuse,maxmemuse)

Obtains information about the amount of memory used by a task.

Return

meminuse (int) – Amount of memory currently used by the task.
maxmemuse (int) – Maximum amount of memory used by the task until now.

Groups

Task.getnumacc¶

getnumacc() -> (num)

Obtains the number of affine conic constraints.

Return: num (int) – The number of affine conic constraints.
Groups: Problem data - affine conic constraints, Inspecting the task

Task.getnumafe¶

getnumafe() -> (numafe)

Obtains the number of affine expressions.

Return: numafe (int) – Number of affine expressions.
Groups: Problem data - affine expressions, Inspecting the task

Task.getnumanz¶

getnumanz() -> (numanz)

Obtains the number of non-zeros in \(A\).

Return: numanz (int) – Number of non-zero elements in the linear constraint matrix.
Groups: Inspecting the task, Problem data - linear part

Task.getnumanz64¶

getnumanz64() -> (numanz)

Obtains the number of non-zeros in \(A\).

Return: numanz (int) – Number of non-zero elements in the linear constraint matrix.
Groups: Inspecting the task, Problem data - linear part

Task.getnumbarablocktriplets¶

getnumbarablocktriplets() -> (num)

Obtains an upper bound on the number of elements in the block triplet form of \(\barA\).

Return: num (int) – An upper bound on the number of elements in the block triplet form of \(\barA.\)
Groups: Problem data - semidefinite, Inspecting the task

Task.getnumbaranz¶

getnumbaranz() -> (nz)

Get the number of nonzero elements in \(\barA\).

Return: nz (int) – The number of nonzero block elements in \(\barA\) i.e. the number of \(\barA_{ij}\) elements that are nonzero.
Groups: Problem data - semidefinite, Inspecting the task

Task.getnumbarcblocktriplets¶

getnumbarcblocktriplets() -> (num)

Obtains an upper bound on the number of elements in the block triplet form of \(\barC\).

Return: num (int) – An upper bound on the number of elements in the block triplet form of \(\barC.\)
Groups: Problem data - semidefinite, Inspecting the task

Task.getnumbarcnz¶

getnumbarcnz() -> (nz)

Obtains the number of nonzero elements in \(\barC\).

Return: nz (int) – The number of nonzeros in \(\barC\) i.e. the number of elements \(\barC_j\) that are nonzero.
Groups: Problem data - semidefinite, Inspecting the task

Task.getnumbarvar¶

getnumbarvar() -> (numbarvar)

Obtains the number of semidefinite variables.

Return: numbarvar (int) – Number of semidefinite variables in the problem.
Groups: Inspecting the task, Problem data - semidefinite

Task.getnumcon¶

getnumcon() -> (numcon)

Obtains the number of constraints.

Return: numcon (int) – Number of constraints.
Groups: Problem data - linear part, Problem data - constraints, Inspecting the task

Task.getnumcone Deprecated¶

getnumcone() -> (numcone)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Return: numcone (int) – Number of conic constraints.
Groups: Problem data - cones (deprecated), Inspecting the task

Task.getnumconemem Deprecated¶

getnumconemem(k) -> (nummem)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Parameters: k (int) – Index of the cone. (input)
Return: nummem (int) – Number of member variables in the cone.
Groups: Problem data - cones (deprecated), Inspecting the task

Task.getnumdjc¶

getnumdjc() -> (num)

Obtains the number of disjunctive constraints.

Return: num (int) – The number of disjunctive constraints.
Groups: Problem data - disjunctive constraints, Inspecting the task

Task.getnumdomain¶

getnumdomain() -> (numdomain)

Obtain the number of domains defined.

Return: numdomain (int) – Number of domains in the task.
Groups: Inspecting the task, Problem data - domain

Task.getnumintvar¶

getnumintvar() -> (numintvar)

Obtains the number of integer-constrained variables.

Return: numintvar (int) – Number of integer variables.
Groups: Inspecting the task, Problem data - variables

Task.getnumparam¶

getnumparam(partype) -> (numparam)

Obtains the number of parameters of a given type.

Parameters: partype (mosek.parametertype) – Parameter type. (input)
Return: numparam (int) – The number of parameters of type partype.
Groups: Inspecting the task, Parameters

Task.getnumqconknz¶

getnumqconknz(k) -> (numqcnz)

Obtains the number of non-zero quadratic terms in a constraint.

Parameters: k (int) – Index of the constraint for which the number quadratic terms should be obtained. (input)
Return: numqcnz (int) – Number of quadratic terms.
Groups: Inspecting the task, Problem data - constraints, Problem data - quadratic part

Task.getnumqobjnz¶

getnumqobjnz() -> (numqonz)

Obtains the number of non-zero quadratic terms in the objective.

Return: numqonz (int) – Number of non-zero elements in the quadratic objective terms.
Groups: Inspecting the task, Problem data - quadratic part

Task.getnumsymmat¶

getnumsymmat() -> (num)

Obtains the number of symmetric matrices stored in the vector \(E\).

Return: num (int) – The number of symmetric sparse matrices.
Groups: Problem data - semidefinite, Inspecting the task

Task.getnumvar¶

getnumvar() -> (numvar)

Obtains the number of variables.

Return: numvar (int) – Number of variables.
Groups: Inspecting the task, Problem data - variables

Task.getobjname¶

getobjname() -> (objname)

Obtains the name assigned to the objective function.

Return: objname (str) – Assigned the objective name.
Groups: Inspecting the task, Names

Task.getobjnamelen¶

getobjnamelen() -> (len)

Obtains the length of the name assigned to the objective function.

Return: len (int) – Assigned the length of the objective name.
Groups: Inspecting the task, Names

Task.getobjsense¶

getobjsense() -> (sense)

Gets the objective sense of the task.

Return: sense (mosek.objsense) – The returned objective sense.
Groups: Problem data - linear part

Task.getpowerdomainalpha¶

getpowerdomainalpha(domidx,alpha)

getpowerdomainalpha(domidx) -> (alpha)

Obtains the exponent vector \(\alpha\) of a primal or dual power cone domain.

Parameters

domidx (int) – Index of the domain. (input)
alpha (float[]) – The vector \(\alpha\). (output)

Return

alpha (float[]) – The vector \(\alpha\).

Groups

Problem data - domain, Inspecting the task

Task.getpowerdomaininfo¶

getpowerdomaininfo(domidx) -> (n,nleft)

Obtains structural information about a primal or dual power cone domain.

Parameters

domidx (int) – Index of the domain. (input)

Return

n (int) – Dimension of the domain.
nleft (int) – Number of variables on the left hand side.

Groups

Problem data - domain, Inspecting the task

Task.getprimalobj¶

getprimalobj(whichsol) -> (primalobj)

Computes the primal objective value for the desired solution. Note that if the solution is an infeasibility certificate, then the fixed term in the objective is not included.

Parameters: whichsol (mosek.soltype) – Selects a solution. (input)
Return: primalobj (float) – Objective value corresponding to the primal solution.
Groups: Solution information, Solution - primal

Task.getprimalsolutionnorms¶

getprimalsolutionnorms(whichsol) -> (nrmxc,nrmxx,nrmbarx)

Compute norms of the primal solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)

Return

nrmxc (float) – The norm of the \(x^c\) vector.
nrmxx (float) – The norm of the \(x\) vector.
nrmbarx (float) – The norm of the \(\barX\) vector.

Groups

Task.getprobtype¶

getprobtype() -> (probtype)

Obtains the problem type.

Return: probtype (mosek.problemtype) – The problem type.
Groups: Inspecting the task

Task.getprosta¶

getprosta(whichsol) -> (problemsta)

Obtains the problem status.

Parameters: whichsol (mosek.soltype) – Selects a solution. (input)
Return: problemsta (mosek.prosta) – Problem status.
Groups: Solution information

Task.getpviolacc¶

getpviolacc(whichsol,accidxlist,viol)

getpviolacc(whichsol,accidxlist) -> (viol)

Computes the primal solution violation for a set of affine conic constraints. Let \(x^*\) be the value of the variable \(x\) for the specified solution. For simplicity let us assume that \(x\) is a member of a quadratic cone, then the violation is computed as follows

\[\begin{split}\left\{ \begin{array}{ll} \max(0,\|x_{2:n}\|-x_1) / \sqrt{2}, & x_1 \geq -\|x_{2:n}\|, \\ \|x\|, & \mbox{otherwise.} \end{array} \right.\end{split}\]

Both when the solution is a certificate of dual infeasibility or when it is primal feasible the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
accidxlist (int[]) – An array of indexes of conic constraints. (input)
viol (float[]) – viol[k] is the violation of the solution associated with the affine conic constraint number accidxlist[k]. (output)

Return

viol (float[]) – viol[k] is the violation of the solution associated with the affine conic constraint number accidxlist[k].

Groups

Task.getpviolbarvar¶

getpviolbarvar(whichsol,sub,viol)

getpviolbarvar(whichsol,sub) -> (viol)

Computes the primal solution violation for a set of semidefinite variables. Let \((\barX_j)^*\) be the value of the variable \(\barX_j\) for the specified solution. Then the primal violation of the solution associated with variable \(\barX_j\) is given by

\[\max(-\lambda_{\min}(\barX_j),\ 0.0).\]

Both when the solution is a certificate of dual infeasibility or when it is primal feasible the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of \(\barX\) variables. (input)
viol (float[]) – viol[k] is how much the solution violates the constraint \(\barX_{\mathtt{sub}[k]} \in \PSD\). (output)

Return

viol (float[]) – viol[k] is how much the solution violates the constraint \(\barX_{\mathtt{sub}[k]} \in \PSD\).

Groups

Task.getpviolcon¶

getpviolcon(whichsol,sub,viol)

getpviolcon(whichsol,sub) -> (viol)

Computes the primal solution violation for a set of constraints. The primal violation of the solution associated with the \(i\)-th constraint is given by

\[\max(\tau l_i^c - (x_i^c)^*,\ (x_i^c)^* - \tau u_i^c),\ |\sum_{j=\idxbeg}^{\idxend{\mathtt{numvar}}} a_{ij} x_j^* - x_i^c|)\]

where \(\tau=0\) if the solution is a certificate of dual infeasibility and \(\tau=1\) otherwise. Both when the solution is a certificate of dual infeasibility and when it is primal feasible the violation should be small. The above formula applies for the linear case but is appropriately generalized in other cases.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of constraints. (input)
viol (float[]) – viol[k] is the violation associated with the solution for the constraint sub[k]. (output)

Return

viol (float[]) – viol[k] is the violation associated with the solution for the constraint sub[k].

Groups

Task.getpviolcones Deprecated¶

getpviolcones(whichsol,sub,viol)

getpviolcones(whichsol,sub) -> (viol)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Computes the primal solution violation for a set of conic constraints. Let \(x^*\) be the value of the variable \(x\) for the specified solution. For simplicity let us assume that \(x\) is a member of a quadratic cone, then the violation is computed as follows

\[\begin{split}\left\{ \begin{array}{ll} \max(0,\|x_{2:n}\|-x_1) / \sqrt{2}, & x_1 \geq -\|x_{2:n}\|, \\ \|x\|, & \mbox{otherwise.} \end{array} \right.\end{split}\]

Both when the solution is a certificate of dual infeasibility or when it is primal feasible the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of conic constraints. (input)
viol (float[]) – viol[k] is the violation of the solution associated with the conic constraint number sub[k]. (output)

Return

viol (float[]) – viol[k] is the violation of the solution associated with the conic constraint number sub[k].

Groups

Task.getpvioldjc¶

getpvioldjc(whichsol,djcidxlist,viol)

getpvioldjc(whichsol,djcidxlist) -> (viol)

Computes the primal solution violation for a set of disjunctive constraints. For a single DJC the violation is defined as

\[\mathrm{viol}\left(\bigvee_{i=1}^t \bigwedge_{j=1}^{s_i} T_{i,j}\right) = \min_{i=1,\ldots,t}\left(\max_{j=1,\ldots,s_j}(\mathrm{viol}(T_{i,j}))\right)\]

where the violation of each simple term \(T_{i,j}\) is defined as for an ordinary linear constraint.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
djcidxlist (int[]) – An array of indexes of disjunctive constraints. (input)
viol (float[]) – viol[k] is the violation of the solution associated with the disjunctive constraint number djcidxlist[k]. (output)

Return

viol (float[]) – viol[k] is the violation of the solution associated with the disjunctive constraint number djcidxlist[k].

Groups

Task.getpviolvar¶

getpviolvar(whichsol,sub,viol)

getpviolvar(whichsol,sub) -> (viol)

Computes the primal solution violation associated to a set of variables. Let \(x_j^*\) be the value of \(x_j\) for the specified solution. Then the primal violation of the solution associated with variable \(x_j\) is given by

\[\max( \tau l_j^x - x_j^*,\ x_j^* - \tau u_j^x,\ 0).\]

where \(\tau=0\) if the solution is a certificate of dual infeasibility and \(\tau=1\) otherwise. Both when the solution is a certificate of dual infeasibility and when it is primal feasible the violation should be small.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sub (int[]) – An array of indexes of \(x\) variables. (input)
viol (float[]) – viol[k] is the violation associated with the solution for the variable \(x_\mathtt{sub[k]}\). (output)

Return

viol (float[]) – viol[k] is the violation associated with the solution for the variable \(x_\mathtt{sub[k]}\).

Groups

Inspecting the task, Problem data - quadratic part, Problem data - constraints

Task.getqconk¶

getqconk(k,qcsubi,qcsubj,qcval) -> (numqcnz)

getqconk(k) -> (numqcnz,qcsubi,qcsubj,qcval)

Obtains all the quadratic terms in a constraint. The quadratic terms are stored sequentially in qcsubi, qcsubj, and qcval.

Parameters

k (int) – Which constraint. (input)
qcsubi (int[]) – Row subscripts for quadratic constraint matrix. (output)
qcsubj (int[]) – Column subscripts for quadratic constraint matrix. (output)
qcval (float[]) – Quadratic constraint coefficient values. (output)

Return

numqcnz (int) – Number of quadratic terms.
qcsubi (int[]) – Row subscripts for quadratic constraint matrix.
qcsubj (int[]) – Column subscripts for quadratic constraint matrix.
qcval (float[]) – Quadratic constraint coefficient values.

Groups

Task.getqobj¶

getqobj(qosubi,qosubj,qoval) -> (numqonz)

getqobj() -> (numqonz,qosubi,qosubj,qoval)

Obtains the quadratic terms in the objective. The required quadratic terms are stored sequentially in qosubi, qosubj, and qoval.

Parameters

qosubi (int[]) – Row subscripts for quadratic objective coefficients. (output)
qosubj (int[]) – Column subscripts for quadratic objective coefficients. (output)
qoval (float[]) – Quadratic objective coefficient values. (output)

Return

numqonz (int) – Number of non-zero elements in the quadratic objective terms.
qosubi (int[]) – Row subscripts for quadratic objective coefficients.
qosubj (int[]) – Column subscripts for quadratic objective coefficients.
qoval (float[]) – Quadratic objective coefficient values.

Groups

Inspecting the task, Problem data - quadratic part

Task.getqobjij¶

getqobjij(i,j) -> (qoij)

Obtains one coefficient \(q_{ij}^o\) in the quadratic term of the objective.

Parameters

i (int) – Row index of the coefficient. (input)
j (int) – Column index of coefficient. (input)

Return

qoij (float) – The required coefficient.

Groups

Inspecting the task, Problem data - quadratic part

Task.getreducedcosts¶

getreducedcosts(whichsol,first,last,redcosts)

getreducedcosts(whichsol,first,last) -> (redcosts)

Computes the reduced costs for a slice of variables and returns them in the array redcosts i.e.

(15.2)¶\[\mathtt{redcosts} = \left[ (s_l^x)_j-(s_u^x)_j, ~j=\mathtt{first},\ldots,\mathtt{last}-1 \right]\]

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – The index of the first variable in the sequence. (input)
last (int) – The index of the last variable in the sequence plus 1. (input)
redcosts (float[]) – The reduced costs for the required slice of variables. (output)

Return

redcosts (float[]) – The reduced costs for the required slice of variables.

Groups

Task.getskc¶

getskc(whichsol,skc)

getskc(whichsol) -> (skc)

Obtains the status keys for the constraints.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (output)

Return

skc (mosek.stakey[]) – Status keys for the constraints.

Groups

Task.getskcslice¶

getskcslice(whichsol,first,last,skc)

getskcslice(whichsol,first,last) -> (skc)

Obtains the status keys for a slice of the constraints.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (output)

Return

skc (mosek.stakey[]) – Status keys for the constraints.

Groups

Task.getskn¶

getskn(whichsol,skn)

getskn(whichsol) -> (skn)

Obtains the status keys for the conic constraints.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skn (mosek.stakey[]) – Status keys for the conic constraints. (output)

Return

skn (mosek.stakey[]) – Status keys for the conic constraints.

Groups

Task.getskx¶

getskx(whichsol,skx)

getskx(whichsol) -> (skx)

Obtains the status keys for the scalar variables.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skx (mosek.stakey[]) – Status keys for the variables. (output)

Return

skx (mosek.stakey[]) – Status keys for the variables.

Groups

Task.getskxslice¶

getskxslice(whichsol,first,last,skx)

getskxslice(whichsol,first,last) -> (skx)

Obtains the status keys for a slice of the scalar variables.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
skx (mosek.stakey[]) – Status keys for the variables. (output)

Return

skx (mosek.stakey[]) – Status keys for the variables.

Groups

Task.getslc¶

getslc(whichsol,slc)

getslc(whichsol) -> (slc)

Obtains the \(s_l^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (output)

Return

slc (float[]) – Dual variables corresponding to the lower bounds on the constraints.

Groups

Task.getslcslice¶

getslcslice(whichsol,first,last,slc)

getslcslice(whichsol,first,last) -> (slc)

Obtains a slice of the \(s_l^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (output)

Return

slc (float[]) – Dual variables corresponding to the lower bounds on the constraints.

Groups

Task.getslx¶

getslx(whichsol,slx)

getslx(whichsol) -> (slx)

Obtains the \(s_l^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (output)

Return

slx (float[]) – Dual variables corresponding to the lower bounds on the variables.

Groups

Task.getslxslice¶

getslxslice(whichsol,first,last,slx)

getslxslice(whichsol,first,last) -> (slx)

Obtains a slice of the \(s_l^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (output)

Return

slx (float[]) – Dual variables corresponding to the lower bounds on the variables.

Groups

Task.getsnx¶

getsnx(whichsol,snx)

getsnx(whichsol) -> (snx)

Obtains the \(s_n^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
snx (float[]) – Dual variables corresponding to the conic constraints on the variables. (output)

Return

snx (float[]) – Dual variables corresponding to the conic constraints on the variables.

Groups

Task.getsnxslice¶

getsnxslice(whichsol,first,last,snx)

getsnxslice(whichsol,first,last) -> (snx)

Obtains a slice of the \(s_n^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
snx (float[]) – Dual variables corresponding to the conic constraints on the variables. (output)

Return

snx (float[]) – Dual variables corresponding to the conic constraints on the variables.

Groups

Solution information, Solution - primal, Solution - dual

Task.getsolsta¶

getsolsta(whichsol) -> (solutionsta)

Obtains the solution status.

Parameters: whichsol (mosek.soltype) – Selects a solution. (input)
Return: solutionsta (mosek.solsta) – Solution status.
Groups: Solution information

Task.getsolution¶

getsolution(whichsol,
            skc,
            skx,
            skn,
            xc,
            xx,
            y,
            slc,
            suc,
            slx,
            sux,
            snx) -> (problemsta,solutionsta)

getsolution(whichsol) ->
           (problemsta,
            solutionsta,
            skc,
            skx,
            skn,
            xc,
            xx,
            y,
            slc,
            suc,
            slx,
            sux,
            snx)

Obtains the complete solution.

Consider the case of linear programming. The primal problem is given by

\[\begin{split}\begin{array}{lccccl} \mbox{minimize} & & & c^T x+c^f & & \\ \mbox{subject to} & l^c & \leq & A x & \leq & u^c, \\ & l^x & \leq & x & \leq & u^x. \\ \end{array}\end{split}\]

and the corresponding dual problem is

\[\begin{split}\begin{array}{lccl} \mbox{maximize} & (l^c)^T s_l^c - (u^c)^T s_u^c & \\ & + (l^x)^T s_l^x - (u^x)^T s_u^x + c^f & \\ \mbox{subject to} & A^T y + s_l^x - s_u^x & = & c, \\ & -y + s_l^c - s_u^c & = & 0, \\ & s_l^c,s_u^c,s_l^x,s_u^x \geq 0. & & \\ \end{array}\end{split}\]

A conic optimization problem has the same primal variables as in the linear case. Recall that the dual of a conic optimization problem is given by:

\[\begin{split}\begin{array}{lccccc} \mbox{maximize} & (l^c)^T s_l^c - (u^c)^T s_u^c & & \\ & +(l^x)^T s_l^x - (u^x)^T s_u^x + c^f & & \\ \mbox{subject to} & A^T y + s_l^x - s_u^x + s_n^x & = & c, \\ & -y + s_l^c - s_u^c & = & 0, \\ & s_l^c,s_u^c,s_l^x,s_u^x & \geq & 0, \\ & s_n^x \in \K^* & & \\ \end{array}\end{split}\]

The mapping between variables and arguments to the function is as follows:

xx : Corresponds to variable \(x\) (also denoted \(x^x\)).
xc : Corresponds to \(x^c:=Ax\).
y : Corresponds to variable \(y\).
slc: Corresponds to variable \(s_l^c\).
suc: Corresponds to variable \(s_u^c\).
slx: Corresponds to variable \(s_l^x\).
sux: Corresponds to variable \(s_u^x\).
snx: Corresponds to variable \(s_n^x\).

The meaning of the values returned by this function depend on the solution status returned in the argument solsta. The most important possible values of solsta are:

solsta.optimal : An optimal solution satisfying the optimality criteria for continuous problems is returned.
solsta.integer_optimal : An optimal solution satisfying the optimality criteria for integer problems is returned.
solsta.prim_feas : A solution satisfying the feasibility criteria.
solsta.prim_infeas_cer : A primal certificate of infeasibility is returned.
solsta.dual_infeas_cer : A dual certificate of infeasibility is returned.

In order to retrieve the primal and dual values of semidefinite variables see Task.getbarxj and Task.getbarsj.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (output)
skx (mosek.stakey[]) – Status keys for the variables. (output)
skn (mosek.stakey[]) – Status keys for the conic constraints. (output)
xc (float[]) – Primal constraint solution. (output)
xx (float[]) – Primal variable solution. (output)
y (float[]) – Vector of dual variables corresponding to the constraints. (output)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (output)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (output)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (output)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (output)
snx (float[]) – Dual variables corresponding to the conic constraints on the variables. (output)

Return

problemsta (mosek.prosta) – Problem status.
solutionsta (mosek.solsta) – Solution status.
skc (mosek.stakey[]) – Status keys for the constraints.
skx (mosek.stakey[]) – Status keys for the variables.
skn (mosek.stakey[]) – Status keys for the conic constraints.
xc (float[]) – Primal constraint solution.
xx (float[]) – Primal variable solution.
y (float[]) – Vector of dual variables corresponding to the constraints.
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints.
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints.
slx (float[]) – Dual variables corresponding to the lower bounds on the variables.
sux (float[]) – Dual variables corresponding to the upper bounds on the variables.
snx (float[]) – Dual variables corresponding to the conic constraints on the variables.

Groups

Task.getsolutioninfo¶

getsolutioninfo(whichsol) ->
               (pobj,
                pviolcon,
                pviolvar,
                pviolbarvar,
                pviolcone,
                pviolitg,
                dobj,
                dviolcon,
                dviolvar,
                dviolbarvar,
                dviolcone)

Obtains information about a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)

Return

pobj (float) – The primal objective value as computed by Task.getprimalobj.
pviolcon (float) – Maximal primal violation of the solution associated with the \(x^c\) variables where the violations are computed by Task.getpviolcon.
pviolvar (float) – Maximal primal violation of the solution for the \(x\) variables where the violations are computed by Task.getpviolvar.
pviolbarvar (float) – Maximal primal violation of solution for the \(\barX\) variables where the violations are computed by Task.getpviolbarvar.
pviolcone (float) – Maximal primal violation of solution for the conic constraints where the violations are computed by Task.getpviolcones.
pviolitg (float) – Maximal violation in the integer constraints. The violation for an integer variable \(x_j\) is given by \(\min(x_j-\lfloor x_j \rfloor,\lceil x_j \rceil - x_j)\). This number is always zero for the interior-point and basic solutions.
dobj (float) – Dual objective value as computed by Task.getdualobj.
dviolcon (float) – Maximal violation of the dual solution associated with the \(x^c\) variable as computed by Task.getdviolcon.
dviolvar (float) – Maximal violation of the dual solution associated with the \(x\) variable as computed by Task.getdviolvar.
dviolbarvar (float) – Maximal violation of the dual solution associated with the \(\barS\) variable as computed by Task.getdviolbarvar.
dviolcone (float) – Maximal violation of the dual solution associated with the dual conic constraints as computed by Task.getdviolcones.

Groups

Task.getsolutioninfonew¶

getsolutioninfonew(whichsol) ->
                  (pobj,
                   pviolcon,
                   pviolvar,
                   pviolbarvar,
                   pviolcone,
                   pviolacc,
                   pvioldjc,
                   pviolitg,
                   dobj,
                   dviolcon,
                   dviolvar,
                   dviolbarvar,
                   dviolcone,
                   dviolacc)

Obtains information about a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)

Return

pobj (float) – The primal objective value as computed by Task.getprimalobj.
pviolcon (float) – Maximal primal violation of the solution associated with the \(x^c\) variables where the violations are computed by Task.getpviolcon.
pviolvar (float) – Maximal primal violation of the solution for the \(x\) variables where the violations are computed by Task.getpviolvar.
pviolbarvar (float) – Maximal primal violation of solution for the \(\barX\) variables where the violations are computed by Task.getpviolbarvar.
pviolcone (float) – Maximal primal violation of solution for the conic constraints where the violations are computed by Task.getpviolcones.
pviolacc (float) – Maximal primal violation of solution for the affine conic constraints where the violations are computed by Task.getpviolacc.
pvioldjc (float) – Maximal primal violation of solution for the disjunctive constraints where the violations are computed by Task.getpvioldjc.
pviolitg (float) – Maximal violation in the integer constraints. The violation for an integer variable \(x_j\) is given by \(\min(x_j-\lfloor x_j \rfloor,\lceil x_j \rceil - x_j)\). This number is always zero for the interior-point and basic solutions.
dobj (float) – Dual objective value as computed by Task.getdualobj.
dviolcon (float) – Maximal violation of the dual solution associated with the \(x^c\) variable as computed by Task.getdviolcon.
dviolvar (float) – Maximal violation of the dual solution associated with the \(x\) variable as computed by Task.getdviolvar.
dviolbarvar (float) – Maximal violation of the dual solution associated with the \(\barS\) variable as computed by Task.getdviolbarvar.
dviolcone (float) – Maximal violation of the dual solution associated with the dual conic constraints as computed by Task.getdviolcones.
dviolacc (float) – Maximal violation of the dual solution associated with the affine conic constraints as computed by Task.getdviolacc.

Groups

Solution information, Solution - primal, Solution - dual

Task.getsolutionnew¶

getsolutionnew(whichsol,
               skc,
               skx,
               skn,
               xc,
               xx,
               y,
               slc,
               suc,
               slx,
               sux,
               snx,
               doty) -> (problemsta,solutionsta)

getsolutionnew(whichsol) ->
              (problemsta,
               solutionsta,
               skc,
               skx,
               skn,
               xc,
               xx,
               y,
               slc,
               suc,
               slx,
               sux,
               snx,
               doty)

Obtains the complete solution. See Task.getsolution for further information.

In order to retrieve the primal and dual values of semidefinite variables see Task.getbarxj and Task.getbarsj.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (output)
skx (mosek.stakey[]) – Status keys for the variables. (output)
skn (mosek.stakey[]) – Status keys for the conic constraints. (output)
xc (float[]) – Primal constraint solution. (output)
xx (float[]) – Primal variable solution. (output)
y (float[]) – Vector of dual variables corresponding to the constraints. (output)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (output)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (output)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (output)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (output)
snx (float[]) – Dual variables corresponding to the conic constraints on the variables. (output)
doty (float[]) – Dual variables corresponding to affine conic constraints. (output)

Return

problemsta (mosek.prosta) – Problem status.
solutionsta (mosek.solsta) – Solution status.
skc (mosek.stakey[]) – Status keys for the constraints.
skx (mosek.stakey[]) – Status keys for the variables.
skn (mosek.stakey[]) – Status keys for the conic constraints.
xc (float[]) – Primal constraint solution.
xx (float[]) – Primal variable solution.
y (float[]) – Vector of dual variables corresponding to the constraints.
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints.
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints.
slx (float[]) – Dual variables corresponding to the lower bounds on the variables.
sux (float[]) – Dual variables corresponding to the upper bounds on the variables.
snx (float[]) – Dual variables corresponding to the conic constraints on the variables.
doty (float[]) – Dual variables corresponding to affine conic constraints.

Groups

Task.getsolutionslice¶

getsolutionslice(whichsol,solitem,first,last,values)

getsolutionslice(whichsol,solitem,first,last) -> (values)

Obtains a slice of one item from the solution. The format of the solution is exactly as in Task.getsolution. The parameter solitem determines which of the solution vectors should be returned.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
solitem (mosek.solitem) – Which part of the solution is required. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
values (float[]) – The values in the required sequence are stored sequentially in values. (output)

Return

values (float[]) – The values in the required sequence are stored sequentially in values.

Groups

Solution - primal, Solution - dual, Solution information

Task.getsparsesymmat¶

getsparsesymmat(idx,subi,subj,valij)

getsparsesymmat(idx) -> (subi,subj,valij)

Get a single symmetric matrix from the matrix store.

Parameters

idx (int) – Index of the matrix to retrieve. (input)
subi (int[]) – Row subscripts of the matrix non-zero elements. (output)
subj (int[]) – Column subscripts of the matrix non-zero elements. (output)
valij (float[]) – Coefficients of the matrix non-zero elements. (output)

Return

subi (int[]) – Row subscripts of the matrix non-zero elements.
subj (int[]) – Column subscripts of the matrix non-zero elements.
valij (float[]) – Coefficients of the matrix non-zero elements.

Groups

Task.getstrparam¶

getstrparam(param) -> (len,parvalue)

Obtains the value of a string parameter.

Parameters

param (mosek.sparam) – Which parameter. (input)

Return

len (int) – The length of the parameter value.
parvalue (str) – Parameter value.

Groups

Names, Parameters

Task.getstrparamlen¶

getstrparamlen(param) -> (len)

Obtains the length of a string parameter.

Parameters: param (mosek.sparam) – Which parameter. (input)
Return: len (int) – The length of the parameter value.
Groups: Names, Parameters

Task.getsuc¶

getsuc(whichsol,suc)

getsuc(whichsol) -> (suc)

Obtains the \(s_u^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (output)

Return

suc (float[]) – Dual variables corresponding to the upper bounds on the constraints.

Groups

Task.getsucslice¶

getsucslice(whichsol,first,last,suc)

getsucslice(whichsol,first,last) -> (suc)

Obtains a slice of the \(s_u^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (output)

Return

suc (float[]) – Dual variables corresponding to the upper bounds on the constraints.

Groups

Task.getsux¶

getsux(whichsol,sux)

getsux(whichsol) -> (sux)

Obtains the \(s_u^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (output)

Return

sux (float[]) – Dual variables corresponding to the upper bounds on the variables.

Groups

Task.getsuxslice¶

getsuxslice(whichsol,first,last,sux)

getsuxslice(whichsol,first,last) -> (sux)

Obtains a slice of the \(s_u^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (output)

Return

sux (float[]) – Dual variables corresponding to the upper bounds on the variables.

Groups

Task.getsymmatinfo¶

getsymmatinfo(idx) -> (dim,nz,mattype)

MOSEK maintains a vector denoted by \(E\) of symmetric data matrices. This function makes it possible to obtain important information about a single matrix in \(E\).

Parameters

idx (int) – Index of the matrix for which information is requested. (input)

Return

dim (int) – Returns the dimension of the requested matrix.
nz (int) – Returns the number of non-zeros in the requested matrix.
mattype (mosek.symmattype) – Returns the type of the requested matrix.

Groups

Problem data - linear part, Inspecting the task, Problem data - bounds, Problem data - variables

Task.gettaskname¶

gettaskname() -> (taskname)

Obtains the name assigned to the task.

Return: taskname (str) – Returns the task name.
Groups: Names, Inspecting the task

Task.gettasknamelen¶

gettasknamelen() -> (len)

Obtains the length the task name.

Return: len (int) – Returns the length of the task name.
Groups: Names, Inspecting the task

Task.getvarbound¶

getvarbound(i) -> (bk,bl,bu)

Obtains bound information for one variable.

Parameters

i (int) – Index of the variable for which the bound information should be obtained. (input)

Return

bk (mosek.boundkey) – Bound keys.
bl (float) – Values for lower bounds.
bu (float) – Values for upper bounds.

Groups

Task.getvarboundslice¶

getvarboundslice(first,last,bk,bl,bu)

getvarboundslice(first,last) -> (bk,bl,bu)

Obtains bounds information for a slice of the variables.

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
bk (mosek.boundkey[]) – Bound keys. (output)
bl (float[]) – Values for lower bounds. (output)
bu (float[]) – Values for upper bounds. (output)

Return

bk (mosek.boundkey[]) – Bound keys.
bl (float[]) – Values for lower bounds.
bu (float[]) – Values for upper bounds.

Groups

Problem data - linear part, Inspecting the task, Problem data - bounds, Problem data - variables

Task.getvarname¶

getvarname(j) -> (name)

Obtains the name of a variable.

Parameters: j (int) – Index of a variable. (input)
Return: name (str) – Returns the required name.
Groups: Names, Problem data - linear part, Problem data - variables, Inspecting the task

Task.getvarnameindex¶

getvarnameindex(somename) -> (asgn,index)

Checks whether the name somename has been assigned to any variable. If so, the index of the variable is reported.

Parameters

somename (str) – The name which should be checked. (input)

Return

asgn (int) – Is non-zero if the name somename is assigned to a variable.
index (int) – If the name somename is assigned to a variable, then index is the index of the variable.

Groups

Names, Problem data - linear part, Problem data - variables, Inspecting the task

Task.getvarnamelen¶

getvarnamelen(i) -> (len)

Obtains the length of the name of a variable.

Parameters: i (int) – Index of a variable. (input)
Return: len (int) – Returns the length of the indicated name.
Groups: Names, Problem data - linear part, Problem data - variables, Inspecting the task

Task.getvartype¶

getvartype(j) -> (vartype)

Gets the variable type of one variable.

Parameters: j (int) – Index of the variable. (input)
Return: vartype (mosek.variabletype) – Variable type of the \(j\)-th variable.
Groups: Inspecting the task, Problem data - variables

Task.getvartypelist¶

getvartypelist(subj,vartype)

getvartypelist(subj) -> (vartype)

Obtains the variable type of one or more variables. Upon return vartype[k] is the variable type of variable subj[k].

Parameters

subj (int[]) – A list of variable indexes. (input)
vartype (mosek.variabletype[]) – The variables types corresponding to the variables specified by subj. (output)

Return

vartype (mosek.variabletype[]) – The variables types corresponding to the variables specified by subj.

Groups

Inspecting the task, Problem data - variables

Task.getxc¶

getxc(whichsol,xc)

getxc(whichsol) -> (xc)

Obtains the \(x^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
xc (float[]) – Primal constraint solution. (output)

Return

xc (float[]) – Primal constraint solution.

Groups

Task.getxcslice¶

getxcslice(whichsol,first,last,xc)

getxcslice(whichsol,first,last) -> (xc)

Obtains a slice of the \(x^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
xc (float[]) – Primal constraint solution. (output)

Return

xc (float[]) – Primal constraint solution.

Groups

Task.getxx¶

getxx(whichsol,xx)

getxx(whichsol) -> (xx)

Obtains the \(x^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
xx (float[]) – Primal variable solution. (output)

Return

xx (float[]) – Primal variable solution.

Groups

Task.getxxslice¶

getxxslice(whichsol,first,last,xx)

getxxslice(whichsol,first,last) -> (xx)

Obtains a slice of the \(x^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
xx (float[]) – Primal variable solution. (output)

Return

xx (float[]) – Primal variable solution.

Groups

Task.gety¶

gety(whichsol,y)

gety(whichsol) -> (y)

Obtains the \(y\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
y (float[]) – Vector of dual variables corresponding to the constraints. (output)

Return

y (float[]) – Vector of dual variables corresponding to the constraints.

Groups

Task.getyslice¶

getyslice(whichsol,first,last,y)

getyslice(whichsol,first,last) -> (y)

Obtains a slice of the \(y\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
y (float[]) – Vector of dual variables corresponding to the constraints. (output)

Return

y (float[]) – Vector of dual variables corresponding to the constraints.

Groups

Problem data - linear part, Problem data - bounds, Problem data - constraints

Task.infeasibilityreport¶

infeasibilityreport(whichstream,whichsol)

Prints the infeasibility report to an output stream.

Parameters

whichstream (mosek.streamtype) – Index of the stream. (input)
whichsol (mosek.soltype) – Selects a solution. (input)

Groups

Infeasibility diagnostic

Task.initbasissolve¶

initbasissolve(basis)

initbasissolve() -> (basis)

Prepare a task for use with the Task.solvewithbasis function.

This function should be called

immediately before the first call to Task.solvewithbasis, and
immediately before any subsequent call to Task.solvewithbasis if the task has been modified.

If the basis is singular i.e. not invertible, then the error rescode.err_basis_singular is reported.

Parameters: basis (int[]) – The array of basis indexes to use. The array is interpreted as follows: If \(\mathtt{basis}[i] \leq \idxend{numcon}\), then \(x_{\mathtt{basis}[i]}^c\) is in the basis at position \(i\), otherwise \(x_{\mathtt{basis}[i]-\mathtt{numcon}}\) is in the basis at position \(i\). (output)
Return: basis (int[]) – The array of basis indexes to use. The array is interpreted as follows: If \(\mathtt{basis}[i] \leq \idxend{numcon}\), then \(x_{\mathtt{basis}[i]}^c\) is in the basis at position \(i\), otherwise \(x_{\mathtt{basis}[i]-\mathtt{numcon}}\) is in the basis at position \(i\).
Groups: Solving systems with basis matrix

Task.inputdata¶

inputdata(maxnumcon,
          maxnumvar,
          c,
          cfix,
          aptrb,
          aptre,
          asub,
          aval,
          bkc,
          blc,
          buc,
          bkx,
          blx,
          bux)

Input the linear part of an optimization problem.

The non-zeros of \(A\) are inputted column-wise in the format described in Section Column or Row Ordered Sparse Matrix.

For an explained code example see Section Linear Optimization and Section Matrix Formats.

Parameters

maxnumcon (int) – Number of preallocated constraints in the optimization task. (input)
maxnumvar (int) – Number of preallocated variables in the optimization task. (input)
c (float[]) – Linear terms of the objective as a dense vector. The length is the number of variables. (input)
cfix (float) – Fixed term in the objective. (input)
aptrb (int[]) – Row or column start pointers. (input)
aptre (int[]) – Row or column end pointers. (input)
asub (int[]) – Coefficient subscripts. (input)
aval (float[]) – Coefficient values. (input)
bkc (mosek.boundkey[]) – Bound keys for the constraints. (input)
blc (float[]) – Lower bounds for the constraints. (input)
buc (float[]) – Upper bounds for the constraints. (input)
bkx (mosek.boundkey[]) – Bound keys for the variables. (input)
blx (float[]) – Lower bounds for the variables. (input)
bux (float[]) – Upper bounds for the variables. (input)

Groups

Task.isdouparname¶

isdouparname(parname) -> (param)

Checks whether parname is a valid double parameter name.

Parameters: parname (str) – Parameter name. (input)
Return: param (mosek.dparam) – Returns the parameter corresponding to the name, if one exists.
Groups: Parameters, Names

Task.isintparname¶

isintparname(parname) -> (param)

Checks whether parname is a valid integer parameter name.

Parameters: parname (str) – Parameter name. (input)
Return: param (mosek.iparam) – Returns the parameter corresponding to the name, if one exists.
Groups: Parameters, Names

Task.isstrparname¶

isstrparname(parname) -> (param)

Checks whether parname is a valid string parameter name.

Parameters: parname (str) – Parameter name. (input)
Return: param (mosek.sparam) – Returns the parameter corresponding to the name, if one exists.
Groups: Parameters, Names

Task.linkfiletostream¶

linkfiletostream(whichstream,filename,append)

Directs all output from a task stream whichstream to a file filename.

Parameters

whichstream (mosek.streamtype) – Index of the stream. (input)
filename (str) – A valid file name. (input)
append (int) – If this argument is 0 the output file will be overwritten, otherwise it will be appended to. (input)

Groups

Logging

Task.onesolutionsummary¶

onesolutionsummary(whichstream,whichsol)

Prints a short summary of a specified solution.

Parameters

whichstream (mosek.streamtype) – Index of the stream. (input)
whichsol (mosek.soltype) – Selects a solution. (input)

Groups

Logging, Solution information

Task.optimize¶

optimize() -> (trmcode)

Calls the optimizer. Depending on the problem type and the selected optimizer this will call one of the optimizers in MOSEK. By default the interior point optimizer will be selected for continuous problems. The optimizer may be selected manually by setting the parameter iparam.optimizer.

Return: trmcode (mosek.rescode) – Is either rescode.ok or a termination response code.
Groups: Optimization

Task.optimizermt¶

optimizermt(address,accesstoken) -> (trmcode)

Offload the optimization task to an instance of OptServer specified by addr, which should be a valid URL, for example http://server:port or https://server:port. The call will block until a result is available or the connection closes.

If the server requires authentication, the authentication token can be passed in the accesstoken argument.

If the server requires encryption, the keys can be passed using one of the solver parameters sparam.remote_tls_cert or sparam.remote_tls_cert_path.

Parameters

address (str) – Address of the OptServer. (input)
accesstoken (str) – Access token. (input)

Return

trmcode (mosek.rescode) – Is either rescode.ok or a termination response code.

Groups

Task.optimizersummary¶

optimizersummary(whichstream)

Prints a short summary with optimizer statistics from last optimization.

Parameters: whichstream (mosek.streamtype) – Index of the stream. (input)
Groups: Logging

Task.primalrepair¶

primalrepair(wlc,wuc,wlx,wux)

The function repairs a primal infeasible optimization problem by adjusting the bounds on the constraints and variables where the adjustment is computed as the minimal weighted sum of relaxations to the bounds on the constraints and variables. Observe the function only repairs the problem but does not solve it. If an optimal solution is required the problem should be optimized after the repair.

The function is applicable to linear and conic problems possibly with integer variables.

Observe that when computing the minimal weighted relaxation the termination tolerance specified by the parameters of the task is employed. For instance the parameter iparam.mio_mode can be used to make MOSEK ignore the integer constraints during the repair which usually leads to a much faster repair. However, the drawback is of course that the repaired problem may not have an integer feasible solution.

Note the function modifies the task in place. If this is not desired, then apply the function to a cloned task.

Parameters

wlc (float[]) – \((w_l^c)_i\) is the weight associated with relaxing the lower bound on constraint \(i\). If the weight is negative, then the lower bound is not relaxed. Moreover, if the argument is None, then all the weights are assumed to be \(1\). (input)
wuc (float[]) – \((w_u^c)_i\) is the weight associated with relaxing the upper bound on constraint \(i\). If the weight is negative, then the upper bound is not relaxed. Moreover, if the argument is None, then all the weights are assumed to be \(1\). (input)
wlx (float[]) – \((w_l^x)_j\) is the weight associated with relaxing the lower bound on variable \(j\). If the weight is negative, then the lower bound is not relaxed. Moreover, if the argument is None, then all the weights are assumed to be \(1\). (input)
wux (float[]) – \((w_l^x)_i\) is the weight associated with relaxing the upper bound on variable \(j\). If the weight is negative, then the upper bound is not relaxed. Moreover, if the argument is None, then all the weights are assumed to be \(1\). (input)

Groups

Infeasibility diagnostic

Task.primalsensitivity¶

primalsensitivity(subi,
                  marki,
                  subj,
                  markj,
                  leftpricei,
                  rightpricei,
                  leftrangei,
                  rightrangei,
                  leftpricej,
                  rightpricej,
                  leftrangej,
                  rightrangej)

primalsensitivity(subi,marki,subj,markj) ->
                 (leftpricei,
                  rightpricei,
                  leftrangei,
                  rightrangei,
                  leftpricej,
                  rightpricej,
                  leftrangej,
                  rightrangej)

Calculates sensitivity information for bounds on variables and constraints. For details on sensitivity analysis, the definitions of shadow price and linearity interval and an example see Section Sensitivity Analysis.

The type of sensitivity analysis to be performed (basis or optimal partition) is controlled by the parameter iparam.sensitivity_type.

Parameters

subi (int[]) – Indexes of constraints to analyze. (input)
marki (mosek.mark[]) – The value of marki[i] indicates for which bound of constraint subi[i] sensitivity analysis is performed. If marki[i] = mark.up the upper bound of constraint subi[i] is analyzed, and if marki[i] = mark.lo the lower bound is analyzed. If subi[i] is an equality constraint, either mark.lo or mark.up can be used to select the constraint for sensitivity analysis. (input)
subj (int[]) – Indexes of variables to analyze. (input)
markj (mosek.mark[]) – The value of markj[j] indicates for which bound of variable subj[j] sensitivity analysis is performed. If markj[j] = mark.up the upper bound of variable subj[j] is analyzed, and if markj[j] = mark.lo the lower bound is analyzed. If subj[j] is a fixed variable, either mark.lo or mark.up can be used to select the bound for sensitivity analysis. (input)
leftpricei (float[]) – leftpricei[i] is the left shadow price for the bound marki[i] of constraint subi[i]. (output)
rightpricei (float[]) – rightpricei[i] is the right shadow price for the bound marki[i] of constraint subi[i]. (output)
leftrangei (float[]) – leftrangei[i] is the left range \(\beta_1\) for the bound marki[i] of constraint subi[i]. (output)
rightrangei (float[]) – rightrangei[i] is the right range \(\beta_2\) for the bound marki[i] of constraint subi[i]. (output)
leftpricej (float[]) – leftpricej[j] is the left shadow price for the bound markj[j] of variable subj[j]. (output)
rightpricej (float[]) – rightpricej[j] is the right shadow price for the bound markj[j] of variable subj[j]. (output)
leftrangej (float[]) – leftrangej[j] is the left range \(\beta_1\) for the bound markj[j] of variable subj[j]. (output)
rightrangej (float[]) – rightrangej[j] is the right range \(\beta_2\) for the bound markj[j] of variable subj[j]. (output)

Return

leftpricei (float[]) – leftpricei[i] is the left shadow price for the bound marki[i] of constraint subi[i].
rightpricei (float[]) – rightpricei[i] is the right shadow price for the bound marki[i] of constraint subi[i].
leftrangei (float[]) – leftrangei[i] is the left range \(\beta_1\) for the bound marki[i] of constraint subi[i].
rightrangei (float[]) – rightrangei[i] is the right range \(\beta_2\) for the bound marki[i] of constraint subi[i].
leftpricej (float[]) – leftpricej[j] is the left shadow price for the bound markj[j] of variable subj[j].
rightpricej (float[]) – rightpricej[j] is the right shadow price for the bound markj[j] of variable subj[j].
leftrangej (float[]) – leftrangej[j] is the left range \(\beta_1\) for the bound markj[j] of variable subj[j].
rightrangej (float[]) – rightrangej[j] is the right range \(\beta_2\) for the bound markj[j] of variable subj[j].

Groups

Sensitivity analysis

Task.putacc¶

putacc(accidx,domidx,afeidxlist,b)

Puts an affine conic constraint. This method overwrites an existing affine conic constraint number accidx with new data specified in the same format as in Task.appendacc.

Parameters

accidx (int) – Affine conic constraint index. (input)
domidx (int) – Domain index. (input)
afeidxlist (int[]) – List of affine expression indexes. (input)
b (float[]) – The vector of constant terms modifying affine expressions. Optional, can be None if not required. (input)

Groups

Task.putaccb¶

putaccb(accidx,b)

Updates an existing affine conic constraint number accidx by putting a new vector \(b\).

Parameters

accidx (int) – Affine conic constraint index. (input)
b (float[]) – The vector of constant terms modifying affine expressions. Optional, can be None if not required. (input)

Groups

Task.putaccbj¶

putaccbj(accidx,j,bj)

Sets one value \(b[j]\) in the \(b\) vector for the affine conic constraint number accidx.

Parameters

accidx (int) – Affine conic constraint index. (input)
j (int) – The index of an element in b to change. (input)
bj (float) – The new value of \(b[j]\). (input)

Groups

Solution - dual, Problem data - affine conic constraints

Task.putaccdoty¶

putaccdoty(whichsol,accidx,doty)

putaccdoty(whichsol,accidx) -> (doty)

Puts the \(\dot{y}\) vector for a solution (the dual values of an affine conic constraint).

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
accidx (int) – The index of the affine conic constraint. (input)
doty (float[]) – The dual values for this affine conic constraint. The array should have length equal to the dimension of the constraint. (output)

Return

doty (float[]) – The dual values for this affine conic constraint. The array should have length equal to the dimension of the constraint.

Groups

Task.putacclist¶

putacclist(accidxs,domidxs,afeidxlist,b)

Puts affine conic constraints. This method overwrites existing affine conic constraints whose numbers are provided in the list accidxs with new data which is a concatenation of individual constraint descriptions in the same format as in Task.appendacc (see also Task.appendaccs).

Parameters

accidxs (int[]) – Affine conic constraint indices. (input)
domidxs (int[]) – Domain indices. (input)
afeidxlist (int[]) – List of affine expression indexes. (input)
b (float[]) – The vector of constant terms modifying affine expressions. Optional, can be None if not required. (input)

Groups

Names, Problem data - affine conic constraints

Task.putaccname¶

putaccname(accidx,name)

Sets the name of an affine conic constraint.

Parameters

accidx (int) – Index of the affine conic constraint. (input)
name (str) – The name of the affine conic constraint. (input)

Groups

Task.putacol¶

putacol(j,subj,valj)

Change one column of the linear constraint matrix \(A\). Resets all the elements in column \(j\) to zero and then sets

\[a_{\mathtt{subj}[k],\mathtt{j}} = \mathtt{valj}[k], \quad k=\idxbeg,\ldots,\idxend{\mathtt{nzj}}.\]

Parameters

j (int) – Index of a column in \(A\). (input)
subj (int[]) – Row indexes of non-zero values in column \(j\) of \(A\). (input)
valj (float[]) – New non-zero values of column \(j\) in \(A\). (input)

Groups

Task.putacollist¶

putacollist(sub,ptrb,ptre,asub,aval)

Change a set of columns in the linear constraint matrix \(A\) with data in sparse triplet format. The requested columns are set to zero and then updated with:

\[\begin{split}\begin{array}{rl} \mathtt{for} & i=\idxbeg,\ldots,\idxend{\mathtt{num}}\\ & a_{\mathtt{asub}[k],\mathtt{sub}[i]} = \mathtt{aval}[k],\quad k=\mathtt{ptrb}[i],\ldots,\mathtt{ptre}[i]-1. \end{array}\end{split}\]

Parameters

sub (int[]) – Indexes of columns that should be replaced, no duplicates. (input)
ptrb (int[]) – Array of pointers to the first element in each column. (input)
ptre (int[]) – Array of pointers to the last element plus one in each column. (input)
asub (int[]) – Row indexes of new elements. (input)
aval (float[]) – Coefficient values. (input)

Groups

Task.putacolslice¶

putacolslice(first,last,ptrb,ptre,asub,aval)

Change a slice of columns in the linear constraint matrix \(A\) with data in sparse triplet format. The requested columns are set to zero and then updated with:

\[\begin{split}\begin{array}{rl} \mathtt{for} & i=\mathtt{first},\ldots,\mathtt{last}-1\\ & a_{\mathtt{asub}[k],i} = \mathtt{aval}[k],\quad k=\mathtt{ptrb}[i-\mathtt{first}\idxorg],\ldots,\mathtt{ptre}[i-\mathtt{first}\idxorg]-1. \end{array}\end{split}\]

Parameters

first (int) – First column in the slice. (input)
last (int) – Last column plus one in the slice. (input)
ptrb (int[]) – Array of pointers to the first element in each column. (input)
ptre (int[]) – Array of pointers to the last element plus one in each column. (input)
asub (int[]) – Row indexes of new elements. (input)
aval (float[]) – Coefficient values. (input)

Groups

Problem data - affine expressions, Problem data - semidefinite

Task.putafebarfblocktriplet¶

putafebarfblocktriplet(afeidx,barvaridx,subk,subl,valkl)

Inputs the \(\barF\) matrix data in block triplet form.

Parameters

afeidx (int[]) – Constraint index. (input)
barvaridx (int[]) – Symmetric matrix variable index. (input)
subk (int[]) – Block row index. (input)
subl (int[]) – Block column index. (input)
valkl (float[]) – The numerical value associated with each block triplet. (input)

Groups

Task.putafebarfentry¶

putafebarfentry(afeidx,barvaridx,termidx,termweight)

This function sets one entry \(\barF_{ij}\) where \(i=\mathrm{afeidx}\) is the row index in the store of affine expressions and \(j=\mathrm{barvaridx}\) is the index of a symmetric variable. That is, the expression

\[\langle \barF_{ij}, \barX_j\rangle\]

will be added to the \(i\)-th affine expression.

The matrix \(\barF_{ij}\) is specified as a weighted sum of symmetric matrices from the symmetric matrix storage \(E\), so \(\barF_{ij}\) is a symmetric matrix, precisely:

\[\barF_{\mathrm{afeidx},\mathrm{barvaridx}} = \sum_{k} \mathrm{termweight}[k] \cdot E_{\mathrm{termidx}[k]}.\]

By default all elements in \(\barF\) are 0, so only non-zero elements need be added. Setting the same entry again will overwrite the earlier entry.

The symmetric matrices from \(E\) are defined separately using the function Task.appendsparsesymmat.

Parameters

afeidx (int) – Row index of \(\barF\). (input)
barvaridx (int) – Semidefinite variable index. (input)
termidx (int[]) – Indices in \(E\) of the matrices appearing in the weighted sum for the \(\barF\) entry being specified. (input)
termweight (float[]) – termweight[k] is the coefficient of the termidx[k]-th element of \(E\) in the weighted sum the \(\barF\) entry being specified. (input)

Groups

Problem data - affine expressions, Problem data - semidefinite

Task.putafebarfentrylist¶

putafebarfentrylist(afeidx,
                    barvaridx,
                    numterm,
                    ptrterm,
                    termidx,
                    termweight)

This function sets a list of entries in \(\barF\). Each entry should be described as in Task.putafebarfentry and all those descriptions should be combined (for example concatenated) in the input to this method. That means the \(k\)-th entry set will have row index afeidx[k], symmetric variable index barvaridx[k] and the description of this term consists of indices in \(E\) and weights appearing in positions

\[\mathrm{ptrterm}[k],\ldots,\mathrm{ptrterm}[k] + (\mathrm{lenterm}[k] - 1)\]

in the corresponding arrays termidx and termweight. See Task.putafebarfentry for details.

Parameters

afeidx (int[]) – Row indexes of \(\barF\). (input)
barvaridx (int[]) – Semidefinite variable indexes. (input)
numterm (int[]) – The number of terms in the weighted sums that form each entry. (input)
ptrterm (int[]) – The pointer to the beginning of the description of each entry. (input)
termidx (int[]) – Concatenated lists of indices in \(E\) of the matrices appearing in the weighted sums for the \(\barF\) being specified. (input)
termweight (float[]) – Concatenated lists of weights appearing in the weighted sums forming the \(\barF\) elements being specified. (input)

Groups

Problem data - affine expressions, Problem data - semidefinite

Task.putafebarfrow¶

putafebarfrow(afeidx,
              barvaridx,
              numterm,
              ptrterm,
              termidx,
              termweight)

This function inputs one row in \(\barF\). It first clears the row, i.e. sets \(\barF_{\mathrm{afeidx},*}=0\) and then sets the new entries. Each entry should be described as in Task.putafebarfentry and all those descriptions should be combined (for example concatenated) in the input to this method. That means the \(k\)-th entry set will have row index afeidx, symmetric variable index barvaridx[k] and the description of this term consists of indices in \(E\) and weights appearing in positions

\[\mathrm{ptrterm}[k],\ldots,\mathrm{ptrterm}[k] + (\mathrm{numterm}[k] - 1)\]

in the corresponding arrays termidx and termweight. See Task.putafebarfentry for details.

Parameters

afeidx (int) – Row index of \(\barF\). (input)
barvaridx (int[]) – Semidefinite variable indexes. (input)
numterm (int[]) – The number of terms in the weighted sums that form each entry. (input)
ptrterm (int[]) – The pointer to the beginning of the description of each entry. (input)
termidx (int[]) – Concatenated lists of indices in \(E\) of the matrices appearing in the weighted sums for the \(\barF\) entries in the row. (input)
termweight (float[]) – Concatenated lists of weights appearing in the weighted sums forming the \(\barF\) entries in the row. (input)

Groups

Problem data - affine expressions, Problem data - semidefinite

Task.putafefcol¶

putafefcol(varidx,afeidx,val)

Change one column of the matrix \(F\) of affine expressions. Resets all the elements in column varidx to zero and then sets

\[F_{\mathtt{afeidx}[k],\mathtt{varidx}} = \mathtt{val}[k], \quad k=\idxbeg,\ldots,\idxend{\mathtt{numnz}}.\]

Parameters

varidx (int) – Index of a column in \(F\). (input)
afeidx (int[]) – Row indexes of non-zero values in the column of \(F\). (input)
val (float[]) – New non-zero values in the column of \(F\). (input)

Groups

Task.putafefentry¶

putafefentry(afeidx,varidx,value)

Replaces one entry in the affine expression store \(F\), that is it sets:

\[F_{\mathrm{afeidx}, \mathrm{varidx}} = \mathrm{value}.\]

Parameters

afeidx (int) – Row index in \(F\). (input)
varidx (int) – Column index in \(F\). (input)
value (float) – Value of \(F_{\mathrm{afeidx},\mathrm{varidx}}\). (input)

Groups

Task.putafefentrylist¶

putafefentrylist(afeidx,varidx,val)

Replaces a number of entries in the affine expression store \(F\), that is it sets:

\[F_{\mathrm{afeidxs}[k], \mathrm{varidx}[k]} = \mathrm{val}[k]\]

for all \(k\).

Parameters

afeidx (int[]) – Row indices in \(F\). (input)
varidx (int[]) – Column indices in \(F\). (input)
val (float[]) – Values of the entries in \(F\). (input)

Groups

Task.putafefrow¶

putafefrow(afeidx,varidx,val)

Change one row of the matrix \(F\) of affine expressions. Resets all the elements in row afeidx to zero and then sets

\[F_{\mathtt{afeidx},\mathtt{varidx}[k]} = \mathtt{val}[k], \quad k=\idxbeg,\ldots,\idxend{\mathtt{numnz}}.\]

Parameters

afeidx (int) – Index of a row in \(F\). (input)
varidx (int[]) – Column indexes of non-zero values in the row of \(F\). (input)
val (float[]) – New non-zero values in the row of \(F\). (input)

Groups

Task.putafefrowlist¶

putafefrowlist(afeidx,numnzrow,ptrrow,varidx,val)

Clears and then changes a number of rows of the matrix \(F\) of affine expressions. The \(k\)-th of the rows to be changed has index \(i = \mathrm{afeidx}[k]\), contains \(\mathrm{numnzrow}[k]\) nonzeros and its description as in Task.putafefrow starts in position \(\mathrm{ptrrow}[k]\) of the arrays varidx and val. Formally, the row with index \(i\) is cleared and then set as:

\[F_{i,\mathrm{varidx}[\mathrm{ptrrow}[k]+j]} = \mathrm{val}[\mathrm{ptrrow}[k] + j], \quad j=0,\ldots,\mathrm{numnzrow}[k]-1.\]

Parameters

afeidx (int[]) – Indices of rows in \(F\). (input)
numnzrow (int[]) – Number of non-zeros in each of the modified rows of \(F\). (input)
ptrrow (int[]) – Pointer to the first nonzero in each row of \(F\). (input)
varidx (int[]) – Column indexes of non-zero values. (input)
val (float[]) – New non-zero values in the rows of \(F\). (input)

Groups

Task.putafeg¶

putafeg(afeidx,g)

Change one element of the vector \(g\) in affine expressions i.e.

\[g_{\mathtt{afeidx}} = \mathtt{gi}.\]

Parameters

afeidx (int) – Index of an entry in \(g\). (input)
g (float) – New value for \(g_{\mathrm{afeidx}}\). (input)

Groups

Task.putafeglist¶

putafeglist(afeidx,g)

Changes a list of elements of the vector \(g\) in affine expressions i.e. for all \(k\) it sets

\[g_{\mathrm{afeidx}[k]} = \mathrm{glist}[k].\]

Parameters

afeidx (int[]) – Indices of entries in \(g\). (input)
g (float[]) – New values for \(g\). (input)

Groups

Task.putafegslice¶

putafegslice(first,last,slice)

Modifies a slice in the vector \(g\) of constant terms in affine expressions using the principle

\[g_{\mathtt{j}} = \mathtt{slice[j-first\idxorg]}, \quad j=\mathrm{first},..,\mathrm{last}-1\]

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
slice (float[]) – The slice of \(g\) as a dense vector. The length is last-first. (input)

Groups

Task.putaij¶

putaij(i,j,aij)

Changes a coefficient in the linear coefficient matrix \(A\) using the method

\[a_{i,j} = \mathtt{aij}.\]

Parameters

i (int) – Constraint (row) index. (input)
j (int) – Variable (column) index. (input)
aij (float) – New coefficient for \(a_{i,j}\). (input)

Groups

Task.putaijlist¶

putaijlist(subi,subj,valij)

Changes one or more coefficients in \(A\) using the method

\[a_{\mathtt{subi[k]},\mathtt{subj[k]}} = \mathtt{valij[k]}, \quad k=\idxbeg,\ldots,\idxend{\mathtt{num}}.\]

Duplicates are not allowed.

Parameters

subi (int[]) – Constraint (row) indices. (input)
subj (int[]) – Variable (column) indices. (input)
valij (float[]) – New coefficient values for \(a_{i,j}\). (input)

Groups

Task.putarow¶

putarow(i,subi,vali)

Change one row of the linear constraint matrix \(A\). Resets all the elements in row \(i\) to zero and then sets

\[a_{\mathtt{i},\mathtt{subi}[k]} = \mathtt{vali}[k], \quad k=\idxbeg,\ldots,\idxend{\mathtt{nzi}}.\]

Parameters

i (int) – Index of a row in \(A\). (input)
subi (int[]) – Column indexes of non-zero values in row \(i\) of \(A\). (input)
vali (float[]) – New non-zero values of row \(i\) in \(A\). (input)

Groups

Task.putarowlist¶

putarowlist(sub,ptrb,ptre,asub,aval)

Change a set of rows in the linear constraint matrix \(A\) with data in sparse triplet format. The requested rows are set to zero and then updated with:

\[\begin{split}\begin{array}{rl} \mathtt{for} & i=\idxbeg,\ldots,\idxend{\mathtt{num}} \\ & a_{\mathtt{sub}[i],\mathtt{asub}[k]} = \mathtt{aval}[k],\quad k=\mathtt{ptrb}[i],\ldots,\mathtt{ptre}[i]-1. \end{array}\end{split}\]

Parameters

sub (int[]) – Indexes of rows that should be replaced, no duplicates. (input)
ptrb (int[]) – Array of pointers to the first element in each row. (input)
ptre (int[]) – Array of pointers to the last element plus one in each row. (input)
asub (int[]) – Column indexes of new elements. (input)
aval (float[]) – Coefficient values. (input)

Groups

Task.putarowslice¶

putarowslice(first,last,ptrb,ptre,asub,aval)

Change a slice of rows in the linear constraint matrix \(A\) with data in sparse triplet format. The requested rows are set to zero and then updated with:

\[\begin{split}\begin{array}{rl} \mathtt{for} & i=\mathtt{first},\ldots,\mathtt{last}-1 \\ & a_{i,\mathtt{asub}[k]} = \mathtt{aval}[k],\quad k=\mathtt{ptrb}[i-\mathtt{first}\idxorg],\ldots,\mathtt{ptre}[i-\mathtt{first}\idxorg]-1. \end{array}\end{split}\]

Parameters

first (int) – First row in the slice. (input)
last (int) – Last row plus one in the slice. (input)
ptrb (int[]) – Array of pointers to the first element in each row. (input)
ptre (int[]) – Array of pointers to the last element plus one in each row. (input)
asub (int[]) – Column indexes of new elements. (input)
aval (float[]) – Coefficient values. (input)

Groups

Task.putatruncatetol¶

putatruncatetol(tolzero)

Truncates (sets to zero) all elements in \(A\) that satisfy

\[|a_{i,j}| \leq \mathtt{tolzero}.\]

Parameters: tolzero (float) – Truncation tolerance. (input)
Groups: Problem data - linear part

Task.putbarablocktriplet¶

putbarablocktriplet(subi,subj,subk,subl,valijkl)

Inputs the \(\barA\) matrix in block triplet form.

Parameters

subi (int[]) – Constraint index. (input)
subj (int[]) – Symmetric matrix variable index. (input)
subk (int[]) – Block row index. (input)
subl (int[]) – Block column index. (input)
valijkl (float[]) – The numerical value associated with each block triplet. (input)

Groups

Task.putbaraij¶

putbaraij(i,j,sub,weights)

This function sets one element in the \(\barA\) matrix.

Each element in the \(\barA\) matrix is a weighted sum of symmetric matrices from the symmetric matrix storage \(E\), so \(\barA_{ij}\) is a symmetric matrix. By default all elements in \(\barA\) are 0, so only non-zero elements need be added. Setting the same element again will overwrite the earlier entry.

The symmetric matrices from \(E\) are defined separately using the function Task.appendsparsesymmat.

Parameters

i (int) – Row index of \(\barA\). (input)
j (int) – Column index of \(\barA\). (input)
sub (int[]) – Indices in \(E\) of the matrices appearing in the weighted sum for \(\barA_{ij}\). (input)
weights (float[]) – weights[k] is the coefficient of the sub[k]-th element of \(E\) in the weighted sum forming \(\barA_{ij}\). (input)

Groups

Task.putbaraijlist¶

putbaraijlist(subi,
              subj,
              alphaptrb,
              alphaptre,
              matidx,
              weights)

This function sets a list of elements in the \(\barA\) matrix.

Each element in the \(\barA\) matrix is a weighted sum of symmetric matrices from the symmetric matrix storage \(E\), so \(\barA_{ij}\) is a symmetric matrix. By default all elements in \(\barA\) are 0, so only non-zero elements need be added. Setting the same element again will overwrite the earlier entry.

The symmetric matrices from \(E\) are defined separately using the function Task.appendsparsesymmat.

Parameters

subi (int[]) – Row index of \(\barA\). (input)
subj (int[]) – Column index of \(\barA\). (input)
alphaptrb (int[]) – Start entries for terms in the weighted sum that forms \(\barA_{ij}\). (input)
alphaptre (int[]) – End entries for terms in the weighted sum that forms \(\barA_{ij}\). (input)
matidx (int[]) – Indices in \(E\) of the matrices appearing in the weighted sum for \(\barA_{ij}\). (input)
weights (float[]) – weights[k] is the coefficient of the sub[k]-th element of \(E\) in the weighted sum forming \(\barA_{ij}\). (input)

Groups

Task.putbararowlist¶

putbararowlist(subi,
               ptrb,
               ptre,
               subj,
               nummat,
               matidx,
               weights)

This function replaces a list of rows in the \(\barA\) matrix.

Parameters

subi (int[]) – Row indexes of \(\barA\). (input)
ptrb (int[]) – Start of rows in \(\barA\). (input)
ptre (int[]) – End of rows in \(\barA\). (input)
subj (int[]) – Column index of \(\barA\). (input)
nummat (int[]) – Number of entries in weighted sum of matrixes. (input)
matidx (int[]) – Matrix indexes for weighted sum of matrixes. (input)
weights (float[]) – Weights for weighted sum of matrixes. (input)

Groups

Task.putbarcblocktriplet¶

putbarcblocktriplet(subj,subk,subl,valjkl)

Inputs the \(\barC\) matrix in block triplet form.

Parameters

subj (int[]) – Symmetric matrix variable index. (input)
subk (int[]) – Block row index. (input)
subl (int[]) – Block column index. (input)
valjkl (float[]) – The numerical value associated with each block triplet. (input)

Groups

Problem data - semidefinite, Problem data - objective

Task.putbarcj¶

putbarcj(j,sub,weights)

This function sets one entry in the \(\barC\) vector.

Each element in the \(\barC\) vector is a weighted sum of symmetric matrices from the symmetric matrix storage \(E\), so \(\barC_{j}\) is a symmetric matrix. By default all elements in \(\barC\) are 0, so only non-zero elements need be added. Setting the same element again will overwrite the earlier entry.

The symmetric matrices from \(E\) are defined separately using the function Task.appendsparsesymmat.

Parameters

j (int) – Index of the element in \(\barC\) that should be changed. (input)
sub (int[]) – Indices in \(E\) of matrices appearing in the weighted sum for \(\barC_j\) (input)
weights (float[]) – weights[k] is the coefficient of the sub[k]-th element of \(E\) in the weighted sum forming \(\barC_j\). (input)

Groups

Task.putbarsj¶

putbarsj(whichsol,j,barsj)

Sets the dual solution for a semidefinite variable.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
j (int) – Index of the semidefinite variable. (input)
barsj (float[]) – Value of \(\barS_j\). Format as in Task.getbarsj. (input)

Groups

Names, Problem data - semidefinite

Task.putbarvarname¶

putbarvarname(j,name)

Sets the name of a semidefinite variable.

Parameters

j (int) – Index of the variable. (input)
name (str) – The variable name. (input)

Groups

Task.putbarxj¶

putbarxj(whichsol,j,barxj)

Sets the primal solution for a semidefinite variable.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
j (int) – Index of the semidefinite variable. (input)
barxj (float[]) – Value of \(\barX_j\). Format as in Task.getbarxj. (input)

Groups

Problem data - linear part, Problem data - objective

Task.putcfix¶

putcfix(cfix)

Replaces the fixed term in the objective by a new one.

Parameters: cfix (float) – Fixed term in the objective. (input)
Groups: Problem data - linear part, Problem data - objective

Task.putcj¶

putcj(j,cj)

Modifies one coefficient in the linear objective vector \(c\), i.e.

\[c_{\mathtt{j}} = \mathtt{cj}.\]

If the absolute value exceeds dparam.data_tol_c_huge an error is generated. If the absolute value exceeds dparam.data_tol_cj_large, a warning is generated, but the coefficient is inputted as specified.

Parameters

j (int) – Index of the variable for which \(c\) should be changed. (input)
cj (float) – New value of \(c_j\). (input)

Groups

Task.putclist¶

putclist(subj,val)

Modifies the coefficients in the linear term \(c\) in the objective using the principle

\[c_{\mathtt{subj[t]}} = \mathtt{val[t]}, \quad t=\idxbeg,\ldots,\idxend{\mathtt{num}}.\]

If a variable index is specified multiple times in subj only the last entry is used. Data checks are performed as in Task.putcj.

Parameters

subj (int[]) – Indices of variables for which the coefficient in \(c\) should be changed. (input)
val (float[]) – New numerical values for coefficients in \(c\) that should be modified. (input)

Groups

Problem data - linear part, Problem data - variables, Problem data - objective

Task.putconbound¶

putconbound(i,bkc,blc,buc)

Changes the bounds for one constraint.

If the bound value specified is numerically larger than dparam.data_tol_bound_inf it is considered infinite and the bound key is changed accordingly. If a bound value is numerically larger than dparam.data_tol_bound_wrn, a warning will be displayed, but the bound is inputted as specified.

Parameters

i (int) – Index of the constraint. (input)
bkc (mosek.boundkey) – New bound key. (input)
blc (float) – New lower bound. (input)
buc (float) – New upper bound. (input)

Groups

Problem data - linear part, Problem data - constraints, Problem data - bounds

Task.putconboundlist¶

putconboundlist(sub,bkc,blc,buc)

Changes the bounds for a list of constraints. If multiple bound changes are specified for a constraint, then only the last change takes effect. Data checks are performed as in Task.putconbound.

Parameters

sub (int[]) – List of constraint indexes. (input)
bkc (mosek.boundkey[]) – Bound keys for the constraints. (input)
blc (float[]) – Lower bounds for the constraints. (input)
buc (float[]) – Upper bounds for the constraints. (input)

Groups

Problem data - linear part, Problem data - constraints, Problem data - bounds

Task.putconboundlistconst¶

putconboundlistconst(sub,bkc,blc,buc)

Changes the bounds for one or more constraints. Data checks are performed as in Task.putconbound.

Parameters

sub (int[]) – List of constraint indexes. (input)
bkc (mosek.boundkey) – New bound key for all constraints in the list. (input)
blc (float) – New lower bound for all constraints in the list. (input)
buc (float) – New upper bound for all constraints in the list. (input)

Groups

Problem data - linear part, Problem data - constraints, Problem data - bounds

Task.putconboundslice¶

putconboundslice(first,last,bkc,blc,buc)

Changes the bounds for a slice of the constraints. Data checks are performed as in Task.putconbound.

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
bkc (mosek.boundkey[]) – Bound keys for the constraints. (input)
blc (float[]) – Lower bounds for the constraints. (input)
buc (float[]) – Upper bounds for the constraints. (input)

Groups

Problem data - linear part, Problem data - constraints, Problem data - bounds

Task.putconboundsliceconst¶

putconboundsliceconst(first,last,bkc,blc,buc)

Changes the bounds for a slice of the constraints. Data checks are performed as in Task.putconbound.

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
bkc (mosek.boundkey) – New bound key for all constraints in the slice. (input)
blc (float) – New lower bound for all constraints in the slice. (input)
buc (float) – New upper bound for all constraints in the slice. (input)

Groups

Problem data - linear part, Problem data - constraints, Problem data - bounds

Task.putcone Deprecated¶

putcone(k,ct,conepar,submem)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Parameters

k (int) – Index of the cone. (input)
ct (mosek.conetype) – Specifies the type of the cone. (input)
conepar (float) – For the power cone it denotes the exponent alpha. For other cone types it is unused and can be set to 0. (input)
submem (int[]) – Variable subscripts of the members in the cone. (input)

Groups

Names, Problem data - cones (deprecated)

Task.putconename Deprecated¶

putconename(j,name)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Parameters

j (int) – Index of the cone. (input)
name (str) – The name of the cone. (input)

Groups

Task.putconname¶

putconname(i,name)

Sets the name of a constraint.

Parameters

i (int) – Index of the constraint. (input)
name (str) – The name of the constraint. (input)

Groups

Names, Problem data - constraints, Problem data - linear part

Task.putconsolutioni¶

putconsolutioni(i,whichsol,sk,x,sl,su)

Sets the primal and dual solution information for a single constraint.

Parameters

i (int) – Index of the constraint. (input)
whichsol (mosek.soltype) – Selects a solution. (input)
sk (mosek.stakey) – Status key of the constraint. (input)
x (float) – Primal solution value of the constraint. (input)
sl (float) – Solution value of the dual variable associated with the lower bound. (input)
su (float) – Solution value of the dual variable associated with the upper bound. (input)

Groups

Solution information, Solution - primal, Solution - dual

Task.putcslice¶

putcslice(first,last,slice)

Modifies a slice in the linear term \(c\) in the objective using the principle

\[c_{\mathtt{j}} = \mathtt{slice[j-first\idxorg]}, \quad j=\mathtt{first},..,\mathtt{last}-1\]

Data checks are performed as in Task.putcj.

Parameters

first (int) – First element in the slice of \(c\). (input)
last (int) – Last element plus 1 of the slice in \(c\) to be changed. (input)
slice (float[]) – New numerical values for coefficients in \(c\) that should be modified. (input)

Groups

Problem data - linear part, Problem data - objective

Task.putdjc¶

putdjc(djcidx,
       domidxlist,
       afeidxlist,
       b,
       termsizelist)

Inputs a disjunctive constraint. The constraint has the form

\[T_1\ \mathrm{or}\ T_2\ \mathrm{or}\ \cdots\ \mathrm{or}\ T_{\mathrm{numterms}}\]

For each \(i=1,\ldots\mathrm{numterms}\) the \(i\)-th clause (term) \(T_i\) has the form a sequence of affine expressions belongs to a product of domains, where the number of domains is \(\mathrm{termsizelist}[i]\) and the number of affine expressions is equal to the sum of dimensions of all domains appearing in \(T_i\).

All the domains and all the affine expressions appearing in the above description are arranged sequentially in the lists domidxlist and afeidxlist, respectively. In particular, the length of domidxlist must be equal to the sum of elements of termsizelist, and the length of afeidxlist must be equal to the sum of dimensions of all the domains appearing in domidxlist.

The elements of domidxlist are indexes of domains previously defined with one of the append...domain functions.

The elements of afeidxlist are indexes to the store of affine expressions, i.e. the \(k\)-th affine expression appearing in the disjunctive constraint is going to be

\[F_{\mathrm{afeidxlist}[k],:}x + g_{\mathrm{afeidxlist}[k]}\]

If an optional vector b of the same length as afeidxlist is specified then the \(k\)-th affine expression appearing in the disjunctive constraint will be taken as

\[F_{\mathrm{afeidxlist}[k],:}x + g_{\mathrm{afeidxlist}[k]} - b_k\]

Parameters

djcidx (int) – Index of the disjunctive constraint. (input)
domidxlist (int[]) – List of domain indexes. (input)
afeidxlist (int[]) – List of affine expression indexes. (input)
b (float[]) – The vector of constant terms modifying affine expressions. (input)
termsizelist (int[]) – List of term sizes. (input)

Groups

Problem data - disjunctive constraints

Task.putdjcname¶

putdjcname(djcidx,name)

Sets the name of a disjunctive constraint.

Parameters

djcidx (int) – Index of the disjunctive constraint. (input)
name (str) – The name of the disjunctive constraint. (input)

Groups

Names, Problem data - disjunctive constraints

Task.putdjcslice¶

putdjcslice(idxfirst,
            idxlast,
            domidxlist,
            afeidxlist,
            b,
            termsizelist,
            termsindjc)

Inputs a slice of disjunctive constraints.

The array termsindjc should have length \(\mathrm{idxlast}-\mathrm{idxfirst}\) and contain the number of terms in consecutive constraints forming the slice.

The rest of the input consists of concatenated descriptions of individual constraints, where each constraint is described as in Task.putdjc.

Parameters

idxfirst (int) – Index of the first disjunctive constraint in the slice. (input)
idxlast (int) – Index of the last disjunctive constraint in the slice plus 1. (input)
domidxlist (int[]) – List of domain indexes. (input)
afeidxlist (int[]) – List of affine expression indexes. (input)
b (float[]) – The vector of constant terms modifying affine expressions. Optional, can be None if not required. (input)
termsizelist (int[]) – List of term sizes. (input)
termsindjc (int[]) – Number of terms in each of the disjunctive constraints in the slice. (input)

Groups

Problem data - disjunctive constraints

Task.putdomainname¶

putdomainname(domidx,name)

Sets the name of a domain.

Parameters

domidx (int) – Index of the domain. (input)
name (str) – The name of the domain. (input)

Groups

Names, Problem data - domain

Task.putdouparam¶

putdouparam(param,parvalue)

Sets the value of a double parameter.

Parameters

param (mosek.dparam) – Which parameter. (input)
parvalue (float) – Parameter value. (input)

Groups

Task.putintparam¶

putintparam(param,parvalue)

Sets the value of an integer parameter.

Parameters

param (mosek.iparam) – Which parameter. (input)
parvalue (int) – Parameter value. (input)

Groups

Task.putmaxnumacc¶

putmaxnumacc(maxnumacc)

Sets the number of preallocated affine conic constraints in the optimization task. When this number is reached MOSEK will automatically allocate more space. It is never mandatory to call this function, since MOSEK will reallocate any internal structures whenever it is required.

Parameters: maxnumacc (int) – Number of preallocated affine conic constraints. (input)
Groups: Environment and task management, Problem data - affine conic constraints

Task.putmaxnumafe¶

putmaxnumafe(maxnumafe)

Sets the number of preallocated affine expressions in the optimization task. When this number is reached MOSEK will automatically allocate more space for affine expressions. It is never mandatory to call this function, since MOSEK will reallocate any internal structures whenever it is required.

Parameters: maxnumafe (int) – Number of preallocated affine expressions. (input)
Groups: Environment and task management, Problem data - affine expressions

Task.putmaxnumanz¶

putmaxnumanz(maxnumanz)

Sets the number of preallocated non-zero entries in \(A\).

MOSEK stores only the non-zero elements in the linear coefficient matrix \(A\) and it cannot predict how much storage is required to store \(A\). Using this function it is possible to specify the number of non-zeros to preallocate for storing \(A\).

If the number of non-zeros in the problem is known, it is a good idea to set maxnumanz slightly larger than this number, otherwise a rough estimate can be used. In general, if \(A\) is inputted in many small chunks, setting this value may speed up the data input phase.

It is not mandatory to call this function, since MOSEK will reallocate internal structures whenever it is necessary.

The function call has no effect if both maxnumcon and maxnumvar are zero.

Parameters: maxnumanz (int) – Number of preallocated non-zeros in \(A\). (input)
Groups: Environment and task management, Problem data - linear part

Task.putmaxnumbarvar¶

putmaxnumbarvar(maxnumbarvar)

Sets the number of preallocated symmetric matrix variables in the optimization task. When this number of variables is reached MOSEK will automatically allocate more space for variables.

It is not mandatory to call this function. It only gives a hint about the amount of data to preallocate for efficiency reasons.

Please note that maxnumbarvar must be larger than the current number of symmetric matrix variables in the task.

Parameters: maxnumbarvar (int) – Number of preallocated symmetric matrix variables. (input)
Groups: Environment and task management, Problem data - semidefinite

Task.putmaxnumcon¶

putmaxnumcon(maxnumcon)

Sets the number of preallocated constraints in the optimization task. When this number of constraints is reached MOSEK will automatically allocate more space for constraints.

It is never mandatory to call this function, since MOSEK will reallocate any internal structures whenever it is required.

Please note that maxnumcon must be larger than the current number of constraints in the task.

Parameters: maxnumcon (int) – Number of preallocated constraints in the optimization task. (input)
Groups: Environment and task management, Problem data - constraints

Task.putmaxnumcone Deprecated¶

putmaxnumcone(maxnumcone)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Sets the number of preallocated conic constraints in the optimization task. When this number of conic constraints is reached MOSEK will automatically allocate more space for conic constraints.

It is not mandatory to call this function, since MOSEK will reallocate any internal structures whenever it is required.

Please note that maxnumcon must be larger than the current number of conic constraints in the task.

Parameters: maxnumcone (int) – Number of preallocated conic constraints in the optimization task. (input)
Groups: Environment and task management, Problem data - cones (deprecated)

Task.putmaxnumdjc¶

putmaxnumdjc(maxnumdjc)

Sets the number of preallocated disjunctive constraints in the optimization task. When this number is reached MOSEK will automatically allocate more space. It is never mandatory to call this function, since MOSEK will reallocate any internal structures whenever it is required.

Parameters: maxnumdjc (int) – Number of preallocated disjunctive constraints in the task. (input)
Groups: Environment and task management, Problem data - disjunctive constraints

Task.putmaxnumdomain¶

putmaxnumdomain(maxnumdomain)

Sets the number of preallocated domains in the optimization task. When this number is reached MOSEK will automatically allocate more space. It is never mandatory to call this function, since MOSEK will reallocate any internal structures whenever it is required.

Parameters: maxnumdomain (int) – Number of preallocated domains. (input)
Groups: Environment and task management, Problem data - domain

Task.putmaxnumqnz¶

putmaxnumqnz(maxnumqnz)

Sets the number of preallocated non-zero entries in quadratic terms.

MOSEK stores only the non-zero elements in \(Q\). Therefore, MOSEK cannot predict how much storage is required to store \(Q\). Using this function it is possible to specify the number non-zeros to preallocate for storing \(Q\) (both objective and constraints).

It may be advantageous to reserve more non-zeros for \(Q\) than actually needed since it may improve the internal efficiency of MOSEK, however, it is never worthwhile to specify more than the double of the anticipated number of non-zeros in \(Q\).

It is not mandatory to call this function, since MOSEK will reallocate internal structures whenever it is necessary.

Parameters: maxnumqnz (int) – Number of non-zero elements preallocated in quadratic coefficient matrices. (input)
Groups: Environment and task management, Problem data - quadratic part

Task.putmaxnumvar¶

putmaxnumvar(maxnumvar)

Sets the number of preallocated variables in the optimization task. When this number of variables is reached MOSEK will automatically allocate more space for variables.

It is not mandatory to call this function. It only gives a hint about the amount of data to preallocate for efficiency reasons.

Please note that maxnumvar must be larger than the current number of variables in the task.

Parameters: maxnumvar (int) – Number of preallocated variables in the optimization task. (input)
Groups: Environment and task management, Problem data - variables

Task.putnadouparam¶

putnadouparam(paramname,parvalue)

Sets the value of a named double parameter.

Parameters

paramname (str) – Name of a parameter. (input)
parvalue (float) – Parameter value. (input)

Groups

Task.putnaintparam¶

putnaintparam(paramname,parvalue)

Sets the value of a named integer parameter.

Parameters

paramname (str) – Name of a parameter. (input)
parvalue (int) – Parameter value. (input)

Groups

Task.putnastrparam¶

putnastrparam(paramname,parvalue)

Sets the value of a named string parameter.

Parameters

paramname (str) – Name of a parameter. (input)
parvalue (str) – Parameter value. (input)

Groups

Task.putobjname¶

putobjname(objname)

Assigns a new name to the objective.

Parameters: objname (str) – Name of the objective. (input)
Groups: Problem data - linear part, Names, Problem data - objective

Task.putobjsense¶

putobjsense(sense)

Sets the objective sense of the task.

Parameters: sense (mosek.objsense) – The objective sense of the task. The values objsense.maximize and objsense.minimize mean that the problem is maximized or minimized respectively. (input)
Groups: Problem data - linear part, Problem data - objective

Task.putoptserverhost¶

putoptserverhost(host)

Specify an OptServer URL for remote calls. The URL should contain protocol, host and port in the form http://server:port or https://server:port. If the URL is set using this function, all subsequent calls to any MOSEK function that involves synchronous optimization will be sent to the specified OptServer instead of being executed locally. Passing None or empty string deactivates this redirection.

Has the same effect as setting the parameter sparam.remote_optserver_host.

Parameters: host (str) – A URL specifying the optimization server to be used. (input)
Groups: Remote optimization

Task.putparam¶

putparam(parname,parvalue)

Checks if parname is valid parameter name. If it is, the parameter is assigned the value specified by parvalue.

Parameters

parname (str) – Parameter name. (input)
parvalue (str) – Parameter value. (input)

Groups

Problem data - quadratic part

Task.putqcon¶

putqcon(qcsubk,qcsubi,qcsubj,qcval)

Replace all quadratic entries in the constraints. The list of constraints has the form

\[l_k^c \leq \half \sum_{i=\idxbeg}^{\idxend{\mathtt{numvar}}} \sum_{j=\idxbeg}^{\idxend{\mathtt{numvar}}} q_{ij}^k x_i x_j + \sum_{j=\idxbeg}^{\idxend{\mathtt{numvar}}} a_{kj} x_j \leq u_k^c, ~\ k=\idxbeg,\ldots,\idxend{m}.\]

This function sets all the quadratic terms to zero and then performs the update:

\[q_{\mathtt{qcsubi[t]},\mathtt{qcsubj[t]}}^{\mathtt{qcsubk[t]}} = q_{\mathtt{\mathtt{qcsubj[t]},qcsubi[t]}}^{\mathtt{qcsubk[t]}} = q_{\mathtt{\mathtt{qcsubj[t]},qcsubi[t]}}^{\mathtt{qcsubk[t]}} + \mathtt{qcval[t]},\]

for \(t=\idxbeg,\ldots,\idxend{\mathtt{numqcnz}}\).

Please note that:

For large problems it is essential for the efficiency that the function Task.putmaxnumqnz is employed to pre-allocate space.
Only the lower triangular parts should be specified because the \(Q\) matrices are symmetric. Specifying entries where \(i < j\) will result in an error.
Only non-zero elements should be specified.
The order in which the non-zero elements are specified is insignificant.
Duplicate elements are added together as shown above. Hence, it is usually not recommended to specify the same entry multiple times.

For a code example see Section Quadratic Optimization

Parameters

qcsubk (int[]) – Constraint subscripts for quadratic coefficients. (input)
qcsubi (int[]) – Row subscripts for quadratic constraint matrix. (input)
qcsubj (int[]) – Column subscripts for quadratic constraint matrix. (input)
qcval (float[]) – Quadratic constraint coefficient values. (input)

Groups

Task.putqconk¶

putqconk(k,qcsubi,qcsubj,qcval)

Replaces all the quadratic entries in one constraint. This function performs the same operations as Task.putqcon but only with respect to constraint number k and it does not modify the other constraints. See the description of Task.putqcon for definitions and important remarks.

Parameters

k (int) – The constraint in which the new \(Q\) elements are inserted. (input)
qcsubi (int[]) – Row subscripts for quadratic constraint matrix. (input)
qcsubj (int[]) – Column subscripts for quadratic constraint matrix. (input)
qcval (float[]) – Quadratic constraint coefficient values. (input)

Groups

Problem data - quadratic part

Task.putqobj¶

putqobj(qosubi,qosubj,qoval)

Replace all quadratic terms in the objective. If the objective has the form

\[\half \sum_{i=\idxbeg}^{\idxend{\mathtt{numvar}}} \sum_{j=\idxbeg}^{\idxend{\mathtt{numvar}}} q_{ij}^o x_i x_j + \sum_{j=\idxbeg}^{\idxend{\mathtt{numvar}}} c_{j} x_j + c^f\]

then this function sets all the quadratic terms to zero and then performs the update:

\[q_{\mathtt{qosubi[t]},\mathtt{qosubj[t]}}^{o} = q_{\mathtt{\mathtt{qosubj[t]},qosubi[t]}}^{o} = q_{\mathtt{\mathtt{qosubj[t]},qosubi[t]}}^{o} + \mathtt{qoval[t]},\]

for \(t=\idxbeg,\ldots,\idxend{\mathtt{numqonz}}\).

See the description of Task.putqcon for important remarks and example.

Parameters

qosubi (int[]) – Row subscripts for quadratic objective coefficients. (input)
qosubj (int[]) – Column subscripts for quadratic objective coefficients. (input)
qoval (float[]) – Quadratic objective coefficient values. (input)

Groups

Problem data - quadratic part, Problem data - objective

Task.putqobjij¶

putqobjij(i,j,qoij)

Replaces one coefficient in the quadratic term in the objective. The function performs the assignment

\[q_{ij}^o = q_{ji}^o = \mathtt{qoij}.\]

Only the elements in the lower triangular part are accepted. Setting \(q_{ij}\) with \(j>i\) will cause an error.

Please note that replacing all quadratic elements one by one is more computationally expensive than replacing them all at once. Use Task.putqobj instead whenever possible.

Parameters

i (int) – Row index for the coefficient to be replaced. (input)
j (int) – Column index for the coefficient to be replaced. (input)
qoij (float) – The new value for \(q_{ij}^o\). (input)

Groups

Problem data - quadratic part, Problem data - objective

Task.putskc¶

putskc(whichsol,skc)

Sets the status keys for the constraints.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (input)

Groups

Task.putskcslice¶

putskcslice(whichsol,first,last,skc)

Sets the status keys for a slice of the constraints.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (input)

Groups

Task.putskx¶

putskx(whichsol,skx)

Sets the status keys for the scalar variables.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skx (mosek.stakey[]) – Status keys for the variables. (input)

Groups

Task.putskxslice¶

putskxslice(whichsol,first,last,skx)

Sets the status keys for a slice of the variables.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
skx (mosek.stakey[]) – Status keys for the variables. (input)

Groups

Task.putslc¶

putslc(whichsol,slc)

Sets the \(s_l^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (input)

Groups

Task.putslcslice¶

putslcslice(whichsol,first,last,slc)

Sets a slice of the \(s_l^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (input)

Groups

Task.putslx¶

putslx(whichsol,slx)

Sets the \(s_l^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (input)

Groups

Task.putslxslice¶

putslxslice(whichsol,first,last,slx)

Sets a slice of the \(s_l^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (input)

Groups

Task.putsnx¶

putsnx(whichsol,sux)

Sets the \(s_n^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (input)

Groups

Task.putsnxslice¶

putsnxslice(whichsol,first,last,snx)

Sets a slice of the \(s_n^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
snx (float[]) – Dual variables corresponding to the conic constraints on the variables. (input)

Groups

Solution information, Solution - primal, Solution - dual

Task.putsolution¶

putsolution(whichsol,
            skc,
            skx,
            skn,
            xc,
            xx,
            y,
            slc,
            suc,
            slx,
            sux,
            snx)

Inserts a solution into the task.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (input)
skx (mosek.stakey[]) – Status keys for the variables. (input)
skn (mosek.stakey[]) – Status keys for the conic constraints. (input)
xc (float[]) – Primal constraint solution. (input)
xx (float[]) – Primal variable solution. (input)
y (float[]) – Vector of dual variables corresponding to the constraints. (input)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (input)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (input)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (input)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (input)
snx (float[]) – Dual variables corresponding to the conic constraints on the variables. (input)

Groups

Task.putsolutionnew¶

putsolutionnew(whichsol,
               skc,
               skx,
               skn,
               xc,
               xx,
               y,
               slc,
               suc,
               slx,
               sux,
               snx,
               doty)

Inserts a solution into the task.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
skc (mosek.stakey[]) – Status keys for the constraints. (input)
skx (mosek.stakey[]) – Status keys for the variables. (input)
skn (mosek.stakey[]) – Status keys for the conic constraints. (input)
xc (float[]) – Primal constraint solution. (input)
xx (float[]) – Primal variable solution. (input)
y (float[]) – Vector of dual variables corresponding to the constraints. (input)
slc (float[]) – Dual variables corresponding to the lower bounds on the constraints. (input)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (input)
slx (float[]) – Dual variables corresponding to the lower bounds on the variables. (input)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (input)
snx (float[]) – Dual variables corresponding to the conic constraints on the variables. (input)
doty (float[]) – Dual variables corresponding to affine conic constraints. (input)

Groups

Solution information, Solution - primal, Solution - dual

Task.putsolutionyi¶

putsolutionyi(i,whichsol,y)

Inputs the dual variable of a solution.

Parameters

i (int) – Index of the dual variable. (input)
whichsol (mosek.soltype) – Selects a solution. (input)
y (float) – Solution value of the dual variable. (input)

Groups

Solution information, Solution - dual

Task.putstrparam¶

putstrparam(param,parvalue)

Sets the value of a string parameter.

Parameters

param (mosek.sparam) – Which parameter. (input)
parvalue (str) – Parameter value. (input)

Groups

Task.putsuc¶

putsuc(whichsol,suc)

Sets the \(s_u^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (input)

Groups

Task.putsucslice¶

putsucslice(whichsol,first,last,suc)

Sets a slice of the \(s_u^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
suc (float[]) – Dual variables corresponding to the upper bounds on the constraints. (input)

Groups

Task.putsux¶

putsux(whichsol,sux)

Sets the \(s_u^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (input)

Groups

Task.putsuxslice¶

putsuxslice(whichsol,first,last,sux)

Sets a slice of the \(s_u^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
sux (float[]) – Dual variables corresponding to the upper bounds on the variables. (input)

Groups

Problem data - linear part, Problem data - variables, Problem data - bounds

Task.puttaskname¶

puttaskname(taskname)

Assigns a new name to the task.

Parameters: taskname (str) – Name assigned to the task. (input)
Groups: Names, Environment and task management

Task.putvarbound¶

putvarbound(j,bkx,blx,bux)

Changes the bounds for one variable.

If the bound value specified is numerically larger than dparam.data_tol_bound_inf it is considered infinite and the bound key is changed accordingly. If a bound value is numerically larger than dparam.data_tol_bound_wrn, a warning will be displayed, but the bound is inputted as specified.

Parameters

j (int) – Index of the variable. (input)
bkx (mosek.boundkey) – New bound key. (input)
blx (float) – New lower bound. (input)
bux (float) – New upper bound. (input)

Groups

Task.putvarboundlist¶

putvarboundlist(sub,bkx,blx,bux)

Changes the bounds for one or more variables. If multiple bound changes are specified for a variable, then only the last change takes effect. Data checks are performed as in Task.putvarbound.

Parameters

sub (int[]) – List of variable indexes. (input)
bkx (mosek.boundkey[]) – Bound keys for the variables. (input)
blx (float[]) – Lower bounds for the variables. (input)
bux (float[]) – Upper bounds for the variables. (input)

Groups

Problem data - linear part, Problem data - variables, Problem data - bounds

Task.putvarboundlistconst¶

putvarboundlistconst(sub,bkx,blx,bux)

Changes the bounds for one or more variables. Data checks are performed as in Task.putvarbound.

Parameters

sub (int[]) – List of variable indexes. (input)
bkx (mosek.boundkey) – New bound key for all variables in the list. (input)
blx (float) – New lower bound for all variables in the list. (input)
bux (float) – New upper bound for all variables in the list. (input)

Groups

Problem data - linear part, Problem data - variables, Problem data - bounds

Task.putvarboundslice¶

putvarboundslice(first,last,bkx,blx,bux)

Changes the bounds for a slice of the variables. Data checks are performed as in Task.putvarbound.

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
bkx (mosek.boundkey[]) – Bound keys for the variables. (input)
blx (float[]) – Lower bounds for the variables. (input)
bux (float[]) – Upper bounds for the variables. (input)

Groups

Problem data - linear part, Problem data - variables, Problem data - bounds

Task.putvarboundsliceconst¶

putvarboundsliceconst(first,last,bkx,blx,bux)

Changes the bounds for a slice of the variables. Data checks are performed as in Task.putvarbound.

Parameters

first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
bkx (mosek.boundkey) – New bound key for all variables in the slice. (input)
blx (float) – New lower bound for all variables in the slice. (input)
bux (float) – New upper bound for all variables in the slice. (input)

Groups

Problem data - linear part, Problem data - variables, Problem data - bounds

Task.putvarname¶

putvarname(j,name)

Sets the name of a variable.

Parameters

j (int) – Index of the variable. (input)
name (str) – The variable name. (input)

Groups

Names, Problem data - variables, Problem data - linear part

Task.putvarsolutionj¶

putvarsolutionj(j,whichsol,sk,x,sl,su,sn)

Sets the primal and dual solution information for a single variable.

Parameters

j (int) – Index of the variable. (input)
whichsol (mosek.soltype) – Selects a solution. (input)
sk (mosek.stakey) – Status key of the variable. (input)
x (float) – Primal solution value of the variable. (input)
sl (float) – Solution value of the dual variable associated with the lower bound. (input)
su (float) – Solution value of the dual variable associated with the upper bound. (input)
sn (float) – Solution value of the dual variable associated with the conic constraint. (input)

Groups

Solution information, Solution - primal, Solution - dual

Task.putvartype¶

putvartype(j,vartype)

Sets the variable type of one variable.

Parameters

j (int) – Index of the variable. (input)
vartype (mosek.variabletype) – The new variable type. (input)

Groups

Problem data - variables

Task.putvartypelist¶

putvartypelist(subj,vartype)

Sets the variable type for one or more variables. If the same index is specified multiple times in subj only the last entry takes effect.

Parameters

subj (int[]) – A list of variable indexes for which the variable type should be changed. (input)
vartype (mosek.variabletype[]) – A list of variable types that should be assigned to the variables specified by subj. (input)

Groups

Problem data - variables

Task.putxc¶

putxc(whichsol,xc)

putxc(whichsol) -> (xc)

Sets the \(x^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
xc (float[]) – Primal constraint solution. (output)

Return

xc (float[]) – Primal constraint solution.

Groups

Task.putxcslice¶

putxcslice(whichsol,first,last,xc)

Sets a slice of the \(x^c\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
xc (float[]) – Primal constraint solution. (input)

Groups

Task.putxx¶

putxx(whichsol,xx)

Sets the \(x^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
xx (float[]) – Primal variable solution. (input)

Groups

Task.putxxslice¶

putxxslice(whichsol,first,last,xx)

Sets a slice of the \(x^x\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
xx (float[]) – Primal variable solution. (input)

Groups

Task.puty¶

puty(whichsol,y)

Sets the \(y\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
y (float[]) – Vector of dual variables corresponding to the constraints. (input)

Groups

Task.putyslice¶

putyslice(whichsol,first,last,y)

Sets a slice of the \(y\) vector for a solution.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
first (int) – First index in the sequence. (input)
last (int) – Last index plus 1 in the sequence. (input)
y (float[]) – Vector of dual variables corresponding to the constraints. (input)

Groups

Task.readbsolution¶

readbsolution(filename,compress)

Read a binary dump of the task solution.

Parameters

filename (str) – A valid file name. (input)
compress (mosek.compresstype) – Data compression type. (input)

Groups

Task.readdata¶

readdata(filename)

Reads an optimization problem and associated data from a file.

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output

Task.readdataformat¶

readdataformat(filename,format,compress)

Reads an optimization problem and associated data from a file.

Parameters

filename (str) – A valid file name. (input)
format (mosek.dataformat) – File data format. (input)
compress (mosek.compresstype) – File compression type. (input)

Groups

Task.readjsonsol¶

readjsonsol(filename)

Reads a solution file in JSON format (JSOL file) and inserts it in the task. Only the section Task/solutions is taken into consideration.

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output

Task.readjsonstring¶

readjsonstring(data)

Load task data from a JSON string, replacing any data that already exists in the task object. All problem data, parameters and other settings are resorted, but if the string contains solutions, the solution status after loading a file is set to unknown, even if it is optimal or otherwise well-defined.

Parameters: data (str) – Problem data in text format. (input)
Groups: Input/Output

Task.readlpstring¶

readlpstring(data)

Load task data from a string in LP format, replacing any data that already exists in the task object.

Parameters: data (str) – Problem data in text format. (input)
Groups: Input/Output

Task.readopfstring¶

readopfstring(data)

Load task data from a string in OPF format, replacing any data that already exists in the task object.

Parameters: data (str) – Problem data in text format. (input)
Groups: Input/Output

Task.readparamfile¶

readparamfile(filename)

Reads MOSEK parameters from a file. Data is read from the file filename if it is a nonempty string. Otherwise data is read from the file specified by sparam.param_read_file_name.

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output, Parameters

Task.readptfstring¶

readptfstring(data)

Load task data from a PTF string, replacing any data that already exists in the task object. All problem data, parameters and other settings are resorted, but if the string contains solutions, the solution status after loading a file is set to unknown, even if it is optimal or otherwise well-defined.

Parameters: data (str) – Problem data in text format. (input)
Groups: Input/Output

Task.readsolution¶

readsolution(whichsol,filename)

Reads a solution file and inserts it as a specified solution in the task. Data is read from the file filename if it is a nonempty string. Otherwise data is read from one of the files specified by sparam.bas_sol_file_name, sparam.itr_sol_file_name or sparam.int_sol_file_name depending on which solution is chosen.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
filename (str) – A valid file name. (input)

Groups

Environment and task management

Task.readsolutionfile¶

readsolutionfile(filename)

Read solution file in format determined by the filename

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output

Task.readsummary¶

readsummary(whichstream)

Prints a short summary of last file that was read.

Parameters: whichstream (mosek.streamtype) – Index of the stream. (input)
Groups: Input/Output, Inspecting the task

Task.readtask¶

readtask(filename)

Load task data from a file, replacing any data that already exists in the task object. All problem data, parameters and other settings are resorted, but if the file contains solutions, the solution status after loading a file is set to unknown, even if it was optimal or otherwise well-defined when the file was dumped.

See section The Task Format for a description of the Task format.

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output

Task.removebarvars¶

removebarvars(subset)

The function removes a subset of the symmetric matrices from the optimization task. This implies that the remaining symmetric matrices are renumbered.

Parameters: subset (int[]) – Indexes of symmetric matrices which should be removed. (input)
Groups: Problem data - semidefinite

Task.removecones Deprecated¶

removecones(subset)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Removes a number of conic constraints from the problem. This implies that the remaining conic constraints are renumbered. In general, it is much more efficient to remove a cone with a high index than a low index.

Parameters: subset (int[]) – Indexes of cones which should be removed. (input)
Groups: Problem data - cones (deprecated)

Task.removecons¶

removecons(subset)

The function removes a subset of the constraints from the optimization task. This implies that the remaining constraints are renumbered.

Parameters: subset (int[]) – Indexes of constraints which should be removed. (input)
Groups: Problem data - constraints, Problem data - linear part

Task.removevars¶

removevars(subset)

The function removes a subset of the variables from the optimization task. This implies that the remaining variables are renumbered.

Parameters: subset (int[]) – Indexes of variables which should be removed. (input)
Groups: Problem data - variables, Problem data - linear part

Task.resizetask¶

resizetask(maxnumcon,
           maxnumvar,
           maxnumcone,
           maxnumanz,
           maxnumqnz)

Sets the amount of preallocated space assigned for each type of data in an optimization task.

It is never mandatory to call this function, since it only gives a hint about the amount of data to preallocate for efficiency reasons.

Please note that the procedure is destructive in the sense that all existing data stored in the task is destroyed.

Parameters

maxnumcon (int) – New maximum number of constraints. (input)
maxnumvar (int) – New maximum number of variables. (input)
maxnumcone (int) – New maximum number of cones. (input)
maxnumanz (int) – New maximum number of non-zeros in \(A\). (input)
maxnumqnz (int) – New maximum number of non-zeros in all \(Q\) matrices. (input)

Groups

Task.sensitivityreport¶

sensitivityreport(whichstream)

Reads a sensitivity format file from a location given by sparam.sensitivity_file_name and writes the result to the stream whichstream. If sparam.sensitivity_res_file_name is set to a non-empty string, then the sensitivity report is also written to a file of this name.

Parameters: whichstream (mosek.streamtype) – Index of the stream. (input)
Groups: Sensitivity analysis

Task.set_InfoCallback¶

set_InfoCallback(callback)

Receive callbacks with solver status and information during optimization.

For example:

task.set_InfoCallback(lambda code,dinf,iinf,liinf: print("Called from: {0}".format(code)))

Parameters: callback (callbackfunc) – The callback function. (input)

Task.set_Progress¶

set_Progress(callback)

Receive callbacks about current status of the solver during optimization.

For example:

task.set_Progress(lambda code: print("Called from: {0}".format(code)))

Parameters: callback (progresscallbackfunc) – The callback function. (input)

Task.set_Stream¶

set_Stream(whichstream, callback)

Directs all output from a task stream to a callback function.

Parameters

whichstream (streamtype) – Index of the stream. (input)
callback (streamfunc) – The callback function. (input)

Task.setdefaults¶

setdefaults()

Resets all the parameters to their default values.

Groups: Parameters

Task.solutiondef¶

solutiondef(whichsol) -> (isdef)

Checks whether a solution is defined.

Parameters: whichsol (mosek.soltype) – Selects a solution. (input)
Return: isdef (bool) – Is non-zero if the requested solution is defined.
Groups: Solution information

Task.solutionsummary¶

solutionsummary(whichstream)

Prints a short summary of the current solutions.

Parameters: whichstream (mosek.streamtype) – Index of the stream. (input)
Groups: Logging, Solution information

Task.solvewithbasis¶

solvewithbasis(transp,numnz,sub,val) -> (numnzout)

If a basic solution is available, then exactly \(numcon\) basis variables are defined. These \(numcon\) basis variables are denoted the basis. Associated with the basis is a basis matrix denoted \(B\). This function solves either the linear equation system

(15.3)¶\[B \barX = b\]

or the system

(15.4)¶\[B^T \barX = b\]

for the unknowns \(\barX\), with \(b\) being a user-defined vector. In order to make sense of the solution \(\barX\) it is important to know the ordering of the variables in the basis because the ordering specifies how \(B\) is constructed. When calling Task.initbasissolve an ordering of the basis variables is obtained, which can be used to deduce how MOSEK has constructed \(B\). Indeed if the \(k\)-th basis variable is variable \(x_j\) it implies that

\[B_{i,k} = A_{i,j}, ~i=\idxbeg,\ldots,\idxend{\mathtt{numcon}}.\]

Otherwise if the \(k\)-th basis variable is variable \(x_j^c\) it implies that

\[\begin{split}B_{i,k} = \left\{ \begin{array}{ll} -1, & i = j, \\ 0 , & i \neq j. \\ \end{array} \right.\end{split}\]

The function Task.initbasissolve must be called before a call to this function. Please note that this function exploits the sparsity in the vector \(b\) to speed up the computations.

Parameters

transp (bool) – If this argument is zero, then (15.3) is solved, if non-zero then (15.4) is solved. (input)
numnz (int) – The number of non-zeros in \(b\). (input)
sub (int[]) – As input it contains the positions of non-zeros in \(b\). As output it contains the positions of the non-zeros in \(\barX\). It must have room for \(numcon\) elements. (input/output)
val (float[]) – As input it is the vector \(b\) as a dense vector (although the positions of non-zeros are specified in sub it is required that \(\mathtt{val}[i] = 0\) when \(b[i] = 0\)). As output val is the vector \(\barX\) as a dense vector. It must have length \(numcon\). (input/output)

Return

numnzout (int) – The number of non-zeros in \(\barX\).

Groups

Solving systems with basis matrix

Task.strtoconetype Deprecated¶

strtoconetype(str) -> (conetype)

NOTE: This interface to conic optimization is deprecated and will be removed in a future major release. Conic problems should be specified using the affine conic constraints interface (ACC), see Sec. 6.2 (From Linear to Conic Optimization) for details.

Obtains cone type code corresponding to a cone type string.

Parameters: str (str) – String corresponding to the cone type code conetype. (input)
Return: conetype (mosek.conetype) – The cone type corresponding to the string str.
Groups: Names

Task.strtosk¶

strtosk(str) -> (sk)

Obtains the status key corresponding to an abbreviation string.

Parameters: str (str) – A status key abbreviation string. (input)
Return: sk (mosek.stakey) – Status key corresponding to the string.
Groups: Names

Task.toconic Deprecated¶

toconic()

This function tries to reformulate a given Quadratically Constrained Quadratic Optimization problem (QCQO) as a Conic Quadratic Optimization problem (CQO). The first step of the reformulation is to convert the quadratic term of the objective function, if any, into a constraint. Then the following steps are repeated for each quadratic constraint:

a conic constraint is added along with a suitable number of auxiliary variables and constraints;
the original quadratic constraint is not removed, but all its coefficients are zeroed out.

Note that the reformulation preserves all the original variables.

The conversion is performed in-place, i.e. the task passed as argument is modified on exit. That also means that if the reformulation fails, i.e. the given QCQP is not representable as a CQO, then the task has an undefined state. In some cases, users may want to clone the task to ensure a clean copy is preserved.

Groups: Problem data - quadratic part

Task.updatesolutioninfo¶

updatesolutioninfo(whichsol)

Update the information items related to the solution.

Parameters: whichsol (mosek.soltype) – Selects a solution. (input)
Groups: Information items and statistics

Task.writebsolution¶

writebsolution(filename,compress)

Write a binary dump of the task solution.

Parameters

filename (str) – A valid file name. (input)
compress (mosek.compresstype) – Data compression type. (input)

Groups

Task.writedata¶

writedata(filename)

Writes problem data associated with the optimization task to a file in one of the supported formats. See Section Supported File Formats for the complete list.

The data file format is determined by the file name extension. To write in compressed format append the extension .gz. E.g to write a gzip compressed MPS file use the extension mps.gz.

Please note that MPS, LP and OPF files require all variables to have unique names. If a task contains no names, it is possible to write the file with automatically generated anonymous names by setting the iparam.write_generic_names parameter to onoffkey.on.

Data is written to the file filename if it is a nonempty string. Otherwise data is written to the file specified by sparam.data_file_name.

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output

Task.writedatastream¶

writedatastream(format, compress, stream)

Writes problem data associated with the optimization task to a stream in one of the supported formats.

The stream should have a write method accepting a byte-like object, typically an instance of io.BytesIO will be suitable. Examples:

    task.writedatastream(dataformat.ptf, compresstype.none, sys.stdout.buffer)
    task.writedatastream(dataformat.task, compresstype.none, open("outfile.task", "wb"))

Parameters

format (mosek.dataformat) – Data format. (input)
compress (mosek.compresstype) – Selects compression type. (input)
stream (iostream) – The output stream. (input)

Task.writejsonsol¶

writejsonsol(filename)

Saves the current solutions and solver information items in a JSON file. If the file name has the extensions .gz or .zst, then the file is gzip or Zstd compressed respectively.

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output

Task.writeparamfile¶

writeparamfile(filename)

Writes all the parameters to a parameter file.

Parameters: filename (str) – A valid file name. (input)
Groups: Input/Output, Parameters

Task.writesolution¶

writesolution(whichsol,filename)

Saves the current basic, interior-point, or integer solution to a file.

Parameters

whichsol (mosek.soltype) – Selects a solution. (input)
filename (str) – A valid file name. (input)

Groups