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Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix

  • Published:2017-10 Issue: Volume:42 Page:44-71
  • ISSN:0885-064X
  • Container-title:Journal of Complexity
  • language:en
  • Short-container-title:Journal of Complexity

Author:

Labahn George,Neiger Vincent,Zhou Wei

Funder

NSERC

Projet Avenir Lyon Saint-Étienne, Mitacs Globalink—Inria

Région Rhône-Alpes

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference42 articles.

1. Fast deterministic computation of determinants of dense matrices;Abbott,1999

2. On simultaneous row and column reduction of higher-order linear differential systems;Barkatou;J. Symbolic Comput.,2013

3. A reliable method for computing M-Padé approximants on arbitrary staircases;Beckermann;J. Comput. Appl. Math.,1992

4. A uniform approach for the fast computation of matrix-type Padé approximants;Beckermann;SIAM J. Matrix Anal. Appl.,1994

5. Fraction-free computation of matrix rational interpolants and matrix GCDs;Beckermann;SIAM J. Matrix Anal. Appl.,2000

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