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Linear algebraic approach for computing polynomial resultant

  • L. Bordoni
  • A. Colagrossi
  • A. Miola
6. Algorithms III
Part of the Lecture Notes in Computer Science book series (LNCS, volume 144)

Abstract

This paper presents a linear algebraic method for computing the re sultant of two polynomials. This method is based on the computation of a determinant of order equal to the minimum of the degrees of the two giv en polynomials. This method turns out to be preferable to other known linear algebraic methods both from a computational point of view and for a total generality respect to the class of the given polynomials. Some relationships of this method with the polynomial pseudo-remainder operation are also discussed.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • L. Bordoni
    • 1
  • A. Colagrossi
    • 1
  • A. Miola
    • 1
  1. 1.Istituto di Analisi dei Sistemi ed InformaticaRomaItaly

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