Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization
2013 (English)In: Mathematics of Operations Research, ISSN 0364-765X, E-ISSN 1526-5471, Vol. 38, no 1, 122-141 p.Article in journal (Refereed) Published
In this paper we study various approaches for exploiting symmetries in polynomial optimization problems within the framework of semidefinite programming relaxations. Our special focus is on constrained problems especially when the symmetric group is acting on the variables. In particular, we investigate the concept of block decomposition within the framework of constrained polynomial optimization problems, show how the degree principle for the symmetric group can be computationally exploited, and also propose some methods to efficiently compute the geometric quotient.
Place, publisher, year, edition, pages
2013. Vol. 38, no 1, 122-141 p.
polynomial optimization, semidefinite programming, semidefinite relaxation symmetry, symmetric group, constrained optimization
IdentifiersURN: urn:nbn:se:umu:diva-67602DOI: 10.1287/moor.1120.0558ISI: 000315190000006OAI: oai:DiVA.org:umu-67602DiVA: diva2:624834