A version of Putinar's Positivstellensatz for cylinders

DOI10.1016/j.jpaa.2020.106448zbMath1465.12003arXiv1811.03586OpenAlexW3024015782MaRDI QIDQ2220198

Paula Escorcielo, Daniel Perrucci

Publication date: 22 January 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.03586

zbMATH Keywords

sums of squaresdegree boundsquadratic modulePutinar'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)

Related Items (3)

A few more extensions of Putinar's Positivstellensatz to non-compact sets ⋮ Rational certificates of non-negativity on semialgebraic subsets of cylinders ⋮ On sum of squares certificates of non-negativity on a strip

Cites Work

• On the complexity of Putinar's Positivstellensatz
• On the complexity of Schmüdgen's Positivstellensatz
• The \(K\)-moment problem for compact semi-algebraic sets
• Positive polynomials and the moment problem for cylinders with compact cross-section.
• Error bounds for polynomial optimization over the hypercube using Putinar type representations
• Complexity estimates for the Schmüdgen Positivstellensatz
• Distinguished representations of strictly positive polynomials
• Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
• Positivity, sums of squares and the multi-dimensional moment problem
• 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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