Constructive proofs of some positivstellens\"atze for compact semialgebraic subsets of $\mathbb{R}^d$
Algebraic Geometry
2012-03-14 v2 Commutative Algebra
Optimization and Control
Abstract
In a broad sense, positivstellens\"atze are results about representations of polynomials which are strictly positive on a given set. We give constructive and, to a large extent, elementary proofs of some known positivstellens\"atze for compact semialgebraic subsets of . The presented proofs extend and simplify arguments of Berr, W\"ormann (2001) and Schweighofer (2002, 2005).
Keywords
Cite
@article{arxiv.1201.4066,
title = {Constructive proofs of some positivstellens\"atze for compact semialgebraic subsets of $\mathbb{R}^d$},
author = {Gennadiy Averkov},
journal= {arXiv preprint arXiv:1201.4066},
year = {2012}
}