We present a new probabilistic symbolic algorithm that, given a variety defined in an n-dimensional affine space by a generic sparse system with fixed supports, computes the Zariski closure of its projection to an ℓ-dimensional coordinate affine space with ℓ<n. The complexity of the algorithm depends polynomially on some combinatorial invariants associated to the supports.Fil: Herrero, Maria Isabel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Jeronimo, Gabriela Tali. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Inve...
AbstractConsider a system F of n polynomial equations in n unknowns, over an algebraically closed fi...
We prove that the sparse resultant, redefined by D'Andrea and Sombra and by Esterov as a power of th...
Given a system of polynomial equations and inequations with coefficients in the field of rational nu...
AbstractWe present a new probabilistic method for solving systems of polynomial equations and inequa...
We present a symbolic probabilistic algorithm to compute the isolated roots in Cn of sparse polynomi...
AbstractWe present a symbolic probabilistic algorithm to compute the isolated roots in Cn of sparse ...
This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polyno...
AbstractIn this paper we present a probabilistic algorithm which computes, from a finite set of poly...
AbstractLet f≔(f1,…,fn) be a random polynomial system with fixed n-tuple of supports. Our main resul...
The condition-based complexity analysis framework is one of the gems of modern numerical algebraic g...
International audienceLet f ∈ Q[X1,. .. , Xn] be a polynomial of degree D. We consider the problem o...
Renormalized homotopy continuation on toric varieties is introduced as a tool for solving sparse sys...
International audienceThe condition-based complexity analysis framework is one of the gems of modern...
International audienceLet $f, f_1, \ldots, f_\nV$ be polynomials with rational coefficients in the i...
AbstractLet K be an algebraically closed field, V⊂Kn be a smooth equidimensional algebraic variety a...
AbstractConsider a system F of n polynomial equations in n unknowns, over an algebraically closed fi...
We prove that the sparse resultant, redefined by D'Andrea and Sombra and by Esterov as a power of th...
Given a system of polynomial equations and inequations with coefficients in the field of rational nu...
AbstractWe present a new probabilistic method for solving systems of polynomial equations and inequa...
We present a symbolic probabilistic algorithm to compute the isolated roots in Cn of sparse polynomi...
AbstractWe present a symbolic probabilistic algorithm to compute the isolated roots in Cn of sparse ...
This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polyno...
AbstractIn this paper we present a probabilistic algorithm which computes, from a finite set of poly...
AbstractLet f≔(f1,…,fn) be a random polynomial system with fixed n-tuple of supports. Our main resul...
The condition-based complexity analysis framework is one of the gems of modern numerical algebraic g...
International audienceLet f ∈ Q[X1,. .. , Xn] be a polynomial of degree D. We consider the problem o...
Renormalized homotopy continuation on toric varieties is introduced as a tool for solving sparse sys...
International audienceThe condition-based complexity analysis framework is one of the gems of modern...
International audienceLet $f, f_1, \ldots, f_\nV$ be polynomials with rational coefficients in the i...
AbstractLet K be an algebraically closed field, V⊂Kn be a smooth equidimensional algebraic variety a...
AbstractConsider a system F of n polynomial equations in n unknowns, over an algebraically closed fi...
We prove that the sparse resultant, redefined by D'Andrea and Sombra and by Esterov as a power of th...
Given a system of polynomial equations and inequations with coefficients in the field of rational nu...