Representation of nonnegative convex polynomials
Algebraic Geometry
2008-07-09 v2 Optimization and Control
Abstract
We provide a specific representation of convex polynomials nonnegative on a convex (not necessarily compact) basic closed semi-algebraic subset K of Rn. Namely, they belong to a specific subset of the quadratic module generated by the concave polynomials that define K.
Cite
@article{arxiv.0801.3754,
title = {Representation of nonnegative convex polynomials},
author = {Jean B. Lasserre},
journal= {arXiv preprint arXiv:0801.3754},
year = {2008}
}