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arXiv · 0910.5250

Positivity and optimization for semi-algebraic functions

Jean-Bernard Lasserre·Mihai Putinar
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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.

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Jean-Bernard Lasserre, Mihai Putinar. 2010-04-19. Positivity and optimization for semi-algebraic functions. https://arxiv.org/abs/0910.5250

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