A version of Putinar's Positivstellensatz for cylinders

Author:

Escorcielo Paula,Perrucci Daniel

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference14 articles.

1. Real Algebraic Geometry;Bochnak,1998

2. Error bounds for some semidefinite programming approaches to polynomial minimization on the hypercube;de Klerk;SIAM J. Optim.,2010

3. Distinguished representations of strictly positive polynomials;Jacobi;J. Reine Angew. Math.,2001

4. Positivity, sums of squares and the multi-dimensional moment problem;Kuhlmann;Trans. Am. Math. Soc.,2002

5. Positivity, sums of squares and the multi-dimensional moment problem. II;Kuhlmann;Adv. Geom.,2005

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1. Rational certificates of non-negativity on semialgebraic subsets of cylinders;Journal of Pure and Applied Algebra;2024-06

2. A few more extensions of Putinar’s Positivstellensatz to non-compact sets;Advances in Geometry;2022-04-18

3. On sum of squares certificates of non-negativity on a strip;Journal of Pure and Applied Algebra;2021-07

4. The Noncompact Case;Certificates of Positivity for Real Polynomials;2021

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