Rank-Sensitive Computation of the Rank Profile of a Polynomial Matrix

Author:

Labahn George1,Neiger Vincent2,Vu Thi Xuan3,Zhou Wei1

Affiliation:

1. University of Waterloo, Waterloo, Canada

2. Sorbonne Université, CNRS, LIP6, Paris, France

3. UiT, The Arctic University of Norway, Tromso, Norway

Publisher

ACM

Reference36 articles.

1. A reliable method for computing M-Padé approximants on arbitrary staircases

2. A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants

3. B. Beckermann , G. Labahn , and G. Villard . 1999. Shifted Normal Forms of Polynomial Matrices . In Proceedings ISSAC 1999 . ACM, 189--196. https://doi.org/10.1145/309831.309929 B. Beckermann, G. Labahn, and G. Villard. 1999. Shifted Normal Forms of Polynomial Matrices. In Proceedings ISSAC 1999. ACM, 189--196. https://doi.org/10.1145/309831.309929

4. Normal forms for general polynomial matrices

5. Fast matrix rank algorithms and applications

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1. Fast interpolation and multiplication of unbalanced polynomials;Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation;2024-07-16

2. p-adic algorithm for bivariate Gröbner bases;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

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