On the Bijectivity of Families of Exponential/Generalized Polynomial Maps
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Publication:5234533
DOI10.1137/18M1178153zbMath1419.26001arXiv1804.01851OpenAlexW2966968005WikidataQ115525597 ScholiaQ115525597MaRDI QIDQ5234533
Georg Regensburger, Josef Hofbauer, Stefan Müller
Publication date: 27 September 2019
Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01851
robustnessHadamard's theoremperturbationsoriented matroidsDescartes' ruleglobal invertibilitydeficiency zero theoremsign vectors
Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Oriented matroids in discrete geometry (52C40)
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Algebraic Perspectives on Signomial Optimization ⋮ Multistationarity in structured reaction networks ⋮ A new decomposition of the graph Laplacian and the binomial structure of mass-action systems ⋮ Sublinear circuits and the constrained signomial nonnegativity problem ⋮ Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems ⋮ Sign conditions for the existence of at least one positive solution of a sparse polynomial system ⋮ Existence of Positive Steady States for Weakly Reversible Mass-Action Systems ⋮ A generalization of Birch's theorem and vertex-balanced steady states for generalized mass-action systems ⋮ Complex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stability ⋮ Newton polytopes and relative entropy optimization
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