Friday, February 12, 2010 — 3:30 PM to 4:30 PM EST

Positive Polynomials Over Equality Constrained Unbounded Sets

Speaker: Dan McQuillan
Affiliation: Norwich University
Room: Mathematics & Computer Building (MC) 5158

Abstract:

A simple yet powerful algebraic connection between the set of polynomials that are non-negative on a given closed domain and the set of polynomials that are non-negative on the intersection of the same domain and the zero set of a given polynomial is presented. This connection has interesting theoretical as well as algorithmic implications. It yields a succinct derivation of copositive programming reformulations for a big class of programs, generalizing Burer's copositive formulation for mixed non-convex quadratically constrained quadratic programming problems. As corollary of our main theorem we also obtain representation theorems for positive polynomials on closed sets. 

This is joint work with Javier Pena and Luis Zuluaga.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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