Block LU factorization of Hankel and Bezout matrices and Euclidean algorithm

  • Authors:
  • Gema M. Diaz-Toca;Nadia Ben Atti

  • Affiliations:
  • Departments de Matematicas Aplicada, Universidad de Murcia, Murcia, Spain;Laboratoire de Mathematiques, Universite de Franche-Comte, Besancon cedex, France

  • Venue:
  • International Journal of Computer Mathematics
  • Year:
  • 2009

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Abstract

Given two polynomials, this paper is devoted to describing the natural relation between the Euclidean algorithm and the block LU factorization of the Hankel and Bezout matrices associated to such polynomials.