A few more extensions of Putinar's Positivstellensatz to non-compact sets

DOI10.1515/advgeom-2022-0012zbMath1498.12001arXiv2105.08785OpenAlexW3160082856MaRDI QIDQ2157802

Daniel Perrucci, Paula Escorcielo

Publication date: 22 July 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08785

zbMATH Keywords

sums of squaresdegree boundsPutinar's Positivstellensatz

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Semialgebraic sets and related spaces (14P10) Real algebra (13J30)

Cites Work

• Real zeros for positive semidefinite forms. I
• On the complexity of Putinar's Positivstellensatz
• On the complexity of Schmüdgen's Positivstellensatz
• The \(K\)-moment problem for compact semi-algebraic sets
• Hermitian matrices over polynomial rings
• Positive polynomials and the moment problem for cylinders with compact cross-section.
• A version of Putinar's Positivstellensatz for cylinders
• Error bounds for polynomial optimization over the hypercube using Putinar type representations
• Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
• Positivity, sums of squares and the multi-dimensional moment problem
• Polynomials non-negative on a strip
• Positivity, sums of squares and the multi-dimensional moment problem II
• A new bound for Pólya's theorem with applications to polynomials positive on polyhedra.
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