Tuesday, 13:45 - 14:10 h, Room: H 3005

 

Monique Laurent
Error bounds for sums of squares relaxations of some polynomial optimization problems

Coauthor: Etienne de Klerk

 

Abstract:
We consider semidefinite programming relaxations for polynomial optimization problems
based on sums of squares of polynomials and the dual relaxations based on moment matrices.
In particular, we discuss error bounds for optimization over the
hypercube for the hierarchy of relaxations corresponding to the Positivstellensätze of
Handelman and of Schmüdgen.
These bounds are explicit and sharpen an earlier result
of Schweighofer (2004).
We also discuss links to error bounds for optimization over the simplex and for the Lasserre hierarchy.

 

Talk 2 of the invited session Tue.2.H 3005
"Lift-and-project methods for combinatorial optimization problems" [...]
Cluster 2
"Combinatorial optimization" [...]

 

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