Invariant semidefinite programs

Christine Bachoc; Dion C. Gijswijt; Alexander Schrijver; Frank Vallentin

doi:10.1007/978-1-4614-0769-0_9

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arXiv · 1007.2905

Invariant semidefinite programs

Christine Bachoc·Dion C. Gijswijt·Alexander Schrijver·Frank Vallentin

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Abstract

In the last years many results in the area of semidefinite programming were obtained for invariant (finite dimensional, or infinite dimensional) semidefinite programs - SDPs which have symmetry. This was done for a variety of problems and applications. The purpose of this handbook chapter is to give the reader the necessary background for dealing with semidefinite programs which have symmetry. Here the basic theory is given and it is illustrated in applications from coding theory, combinatorics, geometry, and polynomial optimization.

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Christine Bachoc, Dion C. Gijswijt, Alexander Schrijver, Frank Vallentin. 2010-07-17. Invariant semidefinite programs. https://doi.org/10.1007/978-1-4614-0769-0_9

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