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11 years 10 months ago
On the degree and half-degree principle for symmetric polynomials
In this note we aim to give a new, elementary proof of a statement that was first proved by Timofte (2003) [15]. It says that a symmetric real polynomial F of degree d in n variabl...
Cordian Riener
CORR
2011
Springer
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12 years 11 months ago
Exploiting symmetries in SDP-relaxations for polynomial optimization
Abstract. We consider the issue of exploiting symmetries in the hierarchy of semidefinite programming relaxations recently introduced in polynomial optimization. We focus on probl...
Cordian Riener, Thorsten Theobald, Lina Jansson An...