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Basis-Independent Polynomial Division Algorithm Applied to Division in Lagrange and Bernstein Basis

  • Manfred Minimair
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5081)

Abstract

Division algorithms for univariate polynomials represented with respect to Lagrange and Bernstein basis are developed. These algorithms are obtained by abstracting from the classical polynomial division algorithm for polynomials represented with respect to the usual power basis. It is shown that these algorithms are quadratic in the degrees of their inputs, as in the power basis case.

Keywords

polynomial division Lagrange basis Bernstein basis 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Manfred Minimair
    • 1
  1. 1.Department of Mathematics and Computer ScienceSeton Hall UniversityNew JerseyUSA

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