Geometry of the signed support of a multivariate polynomial and Descartes' rule of signs
type: Item
instance of: scholarly article
title: Geometry of the signed support of a multivariate polynomial and Descartes' rule of signs
author: Máté L. Telek
published in: SIAM Journal on Applied Algebra and Geometry
publication date: 2025-01-10T00:00:00Z
Mathematics Subject Classification ID: 14P10
Mathematics Subject Classification ID: 52B20
zbMATH DE Number: 7965241
zbMATH Keywords: semialgebraic set
zbMATH Keywords: connected component
zbMATH Keywords: Newton polytope
zbMATH Keywords: reaction network
MaRDI profile type: Publication
cites work: The number of roots of a lacunary bivariate polynomial on a line
cites work: Polynomial systems supported on circuits and dessins d'enfants
cites work: Descartes’ Rule of Signs for Polynomial Systems Supported on Circuits
cites work: Optimal Descartes' rule of signs for systems supported on circuits
cites work: A sharp bound on the number of real intersection points of a sparse plane curve with a line
cites work: Q5447544
cites work: Betti number bounds for fewnomial hypersurfaces via stratified Morse theory
cites work: Fewnomial bounds for completely mixed polynomial systems
cites work: Robots, computer algebra and eight connected components
cites work: On the connectivity of the disguised toric locus of a reaction network
cites work: Recent extensions of \textit{Descartes}' rule of signs.
cites work: Algebraic Geometry Tools in Systems Biology
cites work: Geometric programming with signomials
cites work: Q4065742
cites work: The kinetic space of multistationarity in dual phosphorylation
cites work: Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks
cites work: A proof of unlimited multistability for phosphorylation cycles
cites work: On generalizing Descartes' rule of signs to hypersurfaces
cites work: \(n\)-site phosphorylation systems with \(2n-1\) steady states
cites work: Beweis eines algebraischen Lehrsatzes.
cites work: polymake: a framework for analyzing convex polytopes
cites work: Parameter regions that give rise to \(2\lfloor \frac{n}{2} \rfloor +1\) positive steady states in the \(n\)-site phosphorylation system
cites work: Descartes' Rule of Signs: Another Construction
cites work: Geometric algorithms and combinatorial optimization.
cites work: Convex Polytopes
cites work: Polyhedral and algebraic methods in computational geometry
cites work: Q3999699
cites work: A Wronskian approach to the real \(\tau\)-conjecture
cites work: Counting real connected components of trinomial curve intersections and \(m\)-nomial hypersurfaces
cites work: Fuzzy geometric programming techniques and applications
cites work: Real tropicalization and negative faces of the Newton polytope
cites work: On the number of steady states in a multiple futile cycle
DOI: 10.1137/23M1608835
description: scientific article; zbMATH DE number 7965241