Representation of nonnegative convex polynomials
Jean B. Lasserre(lasserrelaas.fr)
Abstract: We provide a specific representation of convex polynomials nonnegative on a convex (not necessarily compact) basic closed semi-algebraic set $K$ of $R^n$. Namely, they belong to a specific subset of the quadratic module generated by the concave polynomials that define $K$.
Keywords: Convexity; basi semi-algebraic sets.
Category 1: Convex and Nonsmooth Optimization (Convex Optimization )
Category 2: Linear, Cone and Semidefinite Programming (Semi-definite Programming )
Citation: To appear in Archiv der Mathematik
Entry Submitted: 07/09/2008
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