11 Bibliographic notes¶
The material on linear optimization is very basic, and can be found in any textbook. For further details, we suggest a few standard references [Chv83], [BT97] and [PS98], which all cover much more that discussed here. [NW06] gives a more modern treatment of both theory and algorithmic aspects of linear optimization.
For more theory behind the power cone and the exponential cone we recommend the thesis [Cha09].
Much of the material about semidefinite optimization is based on the paper [VB96] and the books [BenTalN01], [BKVH07]. The section on optimization over nonnegative polynomials is based on [Nes99], [Hac03]. We refer to [LR05] for a comprehensive survey on semidefinite optimization and relaxations in combinatorial optimization.
The chapter on conic duality follows the exposition in [GartnerM12]