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Symbolic–numeric sparse interpolation of multivariate polynomials

  • Published:2009-08 Issue:8 Volume:44 Page:943-959
  • ISSN:0747-7171
  • Container-title:Journal of Symbolic Computation
  • language:en
  • Short-container-title:Journal of Symbolic Computation

Author:

Giesbrecht Mark,Labahn George,Lee Wen-shin

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference37 articles.

1. Conditioning of rectangular Vandermonde matrices with nodes in the unit disk;Bazán;SIAM J. Matrix Anal. Appl.,2000

2. The condition number of real Vandermonde, Krylov and positive definite Hankel matrices;Beckermann;Numer. Math.,2000

3. On the numerical condition of a generalized hankel eigenvalue problem;Beckermann;Numer. Math.,2007

4. A deterministic algorithm for sparse multivariate polynomial interpolation;Ben-Or,1988

5. A weakly stable algorithm for Padé approximants and the inversion of Hankel matrices;Cabay;SIAM J. Matrix Anal. Appl.,1993

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1. Approximate GCD of several multivariate sparse polynomials based on SLRA interpolation;Journal of Symbolic Computation;2025-03

2. Encounters in Symbolic Computation: Ideas for the Ages;Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation;2024-07-16

3. Sparse Polynomial Interpolation With Error Correction: Higher Error Capacity by Randomization;Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation;2024-07-16

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

5. Sparse Polynomial Hermite Interpolation;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04
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