Systems of polynomials with at least one positive real zero

DOI10.1142/S0219498820501832zbMath1491.12001arXiv1809.10825OpenAlexW2970776286WikidataQ114614567 ScholiaQ114614567MaRDI QIDQ5133832

Jie Wang

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10825

zbMATH Keywords

Birch's theoremexistence of global minimizerscoercive polynomialexistence of positive real zerosmultivariate Descartes' rule of signs

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Semialgebraic sets and related spaces (14P10) Real algebra (13J30) Polynomial optimization (90C23)

Related Items (1)

Nonnegative Polynomials and Circuit Polynomials

Cites Work

• Unnamed Item
• Amoebas, nonnegative polynomials and sums of squares supported on circuits
• Toric dynamical systems
• Extremal psd forms with few terms
• On multivariate Descartes' rule -- a counterexample
• Multivariate Descartes' rule
• Minimizing polynomials via sum of squares over the gradient ideal
• A Survey of Methods for Deciding Whether a Reaction Network is Multistationary
• Descartes’ Rule of Signs for Polynomial Systems Supported on Circuits
• Polynomial systems supported on circuits and dessins d'enfants
• Coercive Polynomials and Their Newton Polytopes
• Global Optimization of Polynomials Using Gradient Tentacles and Sums of Squares
• Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry

This page was built for publication: Systems of polynomials with at least one positive real zero