Positivity and optimization for semi-algebraic functions
Optimization and Control
2010-04-20 v2 Functional Analysis
Abstract
We describe algebraic certificates of positivity for functions belonging to a finitely generated algebra of Borel measurable functions, with particular emphasis to algebras generated by semi-algebraic functions. In which case the standard global optimization problem with constraints given by elements of the same algebra is reduced via a natural change of variables to the better understood case of polynomial optimization. A collection of simple examples and numerical experiments complement the theoretical parts of the article.
Cite
@article{arxiv.0910.5250,
title = {Positivity and optimization for semi-algebraic functions},
author = {Jean-Bernard Lasserre and Mihai Putinar},
journal= {arXiv preprint arXiv:0910.5250},
year = {2010}
}
Comments
20 pages