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Hankel matrices and polynomials

  • Juan Llovet
  • Juan R. Sendra
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 356)

Abstract

In this paper we study a special kind of Hankel matrices with entries in an unique factorization domain (U.F.D.). It is used to construct an algorithm to determine the resultant and the greatest common divisor (G.C.D.) of multivariate polynomials.

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References

  1. BCL 83.
    Buchberger B., Collins G.E. and Loos R. (eds), "Computer Algebra: Symbolic and Algebraic Computation", Springer-Verlag, Viena (1983).Google Scholar
  2. Fied 86.
    Fiedler M. "Special Matrices and their applications in numerical mathematics". Kluner Academic Publishers (1986).Google Scholar
  3. Gant 60.
    Gantmacher F.R. "Theory of Matrices", Chelsea New York (1960).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Juan Llovet
    • 1
  • Juan R. Sendra
    • 1
  1. 1.Department of MathematicsUniversity of Alcalá HenaresMadridSpain

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