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Article Dans Une Revue SIAM Journal on Optimization Année : 2010

Positivity and optimization for semi-algebraic functions

Mihai Putinar
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Résumé

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.

Dates et versions

hal-00430192 , version 1 (06-11-2009)

Identifiants

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Jean-Bernard Lasserre, Mihai Putinar. Positivity and optimization for semi-algebraic functions. SIAM Journal on Optimization, 2010, 20, pp.3364--3383. ⟨10.1137/090775221⟩. ⟨hal-00430192⟩
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