8 papers
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…
The generic geometry of steady state varieties
Elisenda Feliu, Oskar Henriksson, Beatriz Pascual-Escudero
We answer several fundamental geometric questions about reaction networks with power-law kinetics, on topics such as generic finiteness of the number of steady states, robustness,…
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,…
Positive equilibria in mass action networks: geometry and bounds
Murad Banaji, Elisenda Feliu
Any mass action network gives rise to a parameterised family of polynomial equations whose positive solutions are the positive equilibria of the network. Here, we consider alternat…