Publicaciones en colaboración con investigadores/as de Universidad de Cantabria (16)

2023

  1. Computing the relative position of a parabola and an ellipse without intersecting them

    EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones

2022

  1. Solving the interference problem for ellipses and ellipsoids: New formulae

    Journal of Computational and Applied Mathematics, Vol. 407

2021

  1. On the implicit equation of conics and quadrics offsets

    Mathematics, Vol. 9, Núm. 15

2018

  1. Offsets to conics and quadrics: A new determinantal representation for their implicit equation

    ACM Communications in Computer Algebra, Vol. 52, Núm. 3, pp. 85-88

2017

  1. An algebraic framework for computing the topology of offsets to rational curves

    Computer Aided Geometric Design, Vol. 52-53, pp. 28-47

2015

  1. The Bézout matrix for Hermite interpolants

    Linear Algebra and Its Applications, Vol. 474, pp. 12-29

2013

  1. Computing the topology of a real algebraic plane curve whose defining equations are available only "by values"

    Computer Aided Geometric Design, Vol. 30, Núm. 7, pp. 675-706

  2. Using implicit equations of parametric curves and surfaces without computing them: Polynomial algebra by values

    Computer Aided Geometric Design

2009

  1. Bezout matrices, Subresultant polynomials and parameters

    Applied Mathematics and Computation, Vol. 214, Núm. 2, pp. 588-594

2006

  1. Computing greatest common divisors and squarefree decompositions through matrix methods: The parametric and approximate cases

    Linear Algebra and Its Applications, Vol. 412, Núm. 2-3, pp. 222-246

  2. Modules projectifs de type fini, applications linéaires croisées et inverses généralisés

    Journal of Algebra, Vol. 303, Núm. 2, pp. 450-475

2005

  1. Generalizing Cramer's rule: Solving uniformly linear systems of equations

    SIAM Journal on Matrix Analysis and Applications, Vol. 27, Núm. 3, pp. 621-637

2004

  1. Minors of bezout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor

    International Journal of Computer Mathematics, Vol. 81, Núm. 10, pp. 1223-1238

  2. Various new expressions for subresultants and their applications

    Applicable Algebra in Engineering, Communications and Computing, Vol. 15, Núm. 3-4, pp. 233-266

2002

  1. Barnett's theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices

    Journal of Symbolic Computation, Vol. 34, Núm. 1, pp. 59-81

2001

  1. Squarefree decomposition of univariate polynomials depending on a parameter. Application to the integration of parametric rational functions

    Journal of Symbolic Computation, Vol. 32, Núm. 3, pp. 191-209