18 citations · 25 across the 10 of their papers we have counts for
12 papers
On the maximal spread of symmetric Bohemian matrices
Neil J. Calkin, Robert M. Corless, Laureano Gonzalez-Vega +2
Let A be a square matrix with real entries. The spread of A is defined as the maximum of the distances among the eigenvalues of A. Let denote the set of all …
Relative position of a parabola or a hyperbola and an ellipse without computing intersection points
Jorge Caravantes, Gema M. Diaz-Toca, Mario Fioravanti +1
Efficient methods to determine the relative position of two conics are of great interest for applications in robotics, computer animation, CAGD, computational physics, and other ar…
Tools for analyzing the intersection curve between a torus and a quadric through projection and lifting
Laureano Gonzalez-Vega, Jorge Caravantes, Gema M. Diaz-Toca +1
This article introduces efficient and user-friendly tools for analyzing the intersection curve between a ringed torus and an irreducible quadric surface. Without loose of generalit…
Eigenvalues of Real Matrices with Prescribed Principal Minors Sign and Descartes Law of Signs
Laureano González-Vega, J. Rafael Sendra, Juana Sendra
In this paper, using Descartes law of sign, we provide elementary proof of results on the number of real eigenvalues of real matrices of which certain properties on the signs of th…
Closed formulae for multiple roots of univariate polynomials through subresultants
Jorge Caravantes, Gema M. Diaz-Toca, Laureano Gonzalez-Vega
The computation of the topology of a real algebraic plane curve is greatly simplified if there are no more than one critical point in each vertical line: the general position condi…
Upper Hessenberg and Toeplitz Bohemians
Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +2
We look at Bohemians, specifically those with population and sometimes . More, we specialize the matrices to be upper Hessenberg Bohemian. From t…
Computing the intersection of two quadrics through projection and lifting
Alexandre Trocado, Laureano Gonzalez-Vega
This paper is devoted to presenting a new approach to determine the intersection of two quadrics based on the detailed analysis of its projection in the plane (the so called cutcur…
Bohemian Upper Hessenberg Toeplitz Matrices
Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +3
We look at Bohemian matrices, specifically those with entries from . More, we specialize the matrices to be upper Hessenberg, with subdiagonal entries . Even mo…
Bohemian Upper Hessenberg Matrices
Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +3
We look at Bohemian matrices, specifically those with entries from . More, we specialize the matrices to be upper Hessenberg, with subdiagonal entries . Many…
Algebraic Linearizations of Matrix Polynomials
Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +2
We show how to construct linearizations of matrix polynomials , , (when $\mat…
Virtual Roots of Real Polynomials
Laureano Gonzalez--Vega, Henri Lombardi, Louis Mahé
The fact that a real univariate polynomial misses some real roots is usually overcame by considering complex roots, but the price to pay for, is a complete lost of the sign structu…
A canonical form for the continuous piecewise polynomial functions
Jorge Caravantes, M. Angeles Gomez-Molleda, Laureano Gonzalez-Vega
We present in this paper a canonical form for the elements in the ring of continuous piecewise polynomial functions. This new representation is based on the use of a particular cla…