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Toward the best algorithm for approximate GCD of univariate polynomials

  • Published:2021-07 Issue: Volume:105 Page:4-27
  • ISSN:0747-7171
  • Container-title:Journal of Symbolic Computation
  • language:en
  • Short-container-title:Journal of Symbolic Computation

Author:

Nagasaka Kosaku

Funder

Japan Society for the Promotion of Science

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference28 articles.

1. Structured matrix-based methods for polynomial ϵ-gcd: analysis and comparisons;Bini,2007

2. Structured Matrix Based Methods for Approximate Polynomial GCD;Boito,2011

3. A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials;Bourne;J. Comput. Appl. Math.,2017

4. The ERES method for computing the approximate GCD of several polynomials;Christou;Appl. Numer. Math.,2010

5. QR factoring to compute the GCD of univariate approximate polynomials;Corless;IEEE Trans. Signal Process.,2004

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1. SLRA Interpolation for Approximate GCD of Several Multivariate Polynomials;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

2. Computing multiple roots of polynomials in stochastic arithmetic with Newton method and approximate GCD;2021 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC);2021-12

3. Approximate GCD by relaxed NewtonSLRA algorithm;ACM Communications in Computer Algebra;2021-09

4. Approximate square-free part and decomposition;Journal of Symbolic Computation;2021-05

5. Relaxed NewtonSLRA for Approximate GCD;Computer Algebra in Scientific Computing;2021
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