1 citations · 1 across the 5 of their papers we have counts for
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Copositivity, discriminants and nonseparable signed supports
Elisenda Feliu, Joan Ferrer, Máté L. Telek
We establish a connection between discriminants and copositivity of sparse Laurent polynomials. More generally, we consider signomials, which are defined on the positive orthant by…
An effective criterion for multiple positive zeros of vertically parametrized polynomial systems
Carles Checa, Elisenda Feliu
We present an effective criterion for determining whether a (augmented) vertically parametrized polynomial system admits multiple positive zeros for some choice of parameter values…
Toric invariance of vertically parametrized systems
Elisenda Feliu, Oskar Henriksson
We consider the problem of deciding whether the solution sets of a parametrized polynomial system are toric in the sense that they admit a monomial parametrization. We focus on ver…
Root bounds of vertical systems using tropical geometry
Elisenda Feliu, Paul Alexander Helminck, Oskar Henriksson +3
Sparse polynomial systems with vertical coefficient dependencies arise naturally when describing the critical points of optimization problems and, when augmented with linear forms,…
From chemical reaction networks to algebraic and polyhedral geometry -- and back again
Elisenda Feliu, Anne Shiu
This is a chapter for a book in honor of Bernd Sturmfels and his contributions. We describe the contributions by Bernd Sturmfels and his collaborators in harnessing algebraic and c…
Generic consistency and nondegeneracy of vertically parametrized systems
Elisenda Feliu, Oskar Henriksson, Beatriz Pascual-Escudero
We determine the generic consistency, dimension and nondegeneracy of the zero locus over , and of vertically parametrized systems: pa…