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Time and space efficient generators for quasiseparable matrices

Clément Pernet , Arne Storjohann
Journal of Symbolic Computation, 2018, Special issue on the 41th International Symposium on Symbolic and Alge-braic Computation (ISSAC’16), 85, pp.224-246. ⟨10.1016/j.jsc.2017.07.010⟩
Article dans une revue hal-01424252v2
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Elimination-based certificates for triangular equivalence and rank profiles

Jean-Guillaume Dumas , Erich L. Kaltofen , David Lucas , Clément Pernet
Journal of Symbolic Computation, 2020, 98, pp.246-269. ⟨10.1016/j.jsc.2019.07.013⟩
Article dans une revue hal-02191075v1
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Dynamic proofs of retrievability with low server storage

Gaspard Anthoine , Jean-Guillaume Dumas , Michael Hanling , Mélanie de Jonghe , Aude Maignan , et al.
30th USENIX Security Symposium, Aug 2021, virtual event, United States. pp.537--554
Communication dans un congrès hal-02875379v4
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LU factorization with errors

Jean-Guillaume Dumas , Joris van der Hoeven , Clément Pernet , Daniel S. Roche
International Symposium on Symbolic and Algebraic Computation - ISSAC'19, Jul 2019, Beijing, China. pp.131-138, ⟨10.1145/3326229.3326244⟩
Communication dans un congrès hal-01997592v1
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Some fast algorithms multiplying a matrix by its adjoint

Jean-Guillaume Dumas , Clément Pernet , Alexandre Sedoglavic
Journal of Symbolic Computation, 2023, 115 (March–April), pp.285-315. ⟨10.1016/j.jsc.2022.08.009⟩
Article dans une revue hal-03095393v1
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On fast multiplication of a matrix by its transpose

Jean-Guillaume Dumas , Clément Pernet , Alexandre Sedoglavic
Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, ACM SIGSAM, Jul 2020, Kalamata, Greece. pp.162-169, ⟨10.1145/3373207.3404021⟩
Communication dans un congrès hal-02432390v4
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VESPo: Verified Evaluation of Secret Polynomials

Jean-Guillaume Dumas , Aude Maignan , Clément Pernet , Daniel S. Roche
Privacy Enhancing Technologies Symposium, Jul 2023, Lausanne (CH), Switzerland. pp.354--374, ⟨10.56553/popets-2023-0085⟩
Communication dans un congrès hal-03365854v5
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LinBox founding scope allocation, parallel building blocks, and separate compilation

Jean-Guillaume Dumas , Thierry Gautier , Clément Pernet , B. David Saunders
ICMS 2010 - 3rd International Congress on Mathematical Software, Sep 2010, Kobe, Japan. pp.77-83, ⟨10.1007/978-3-642-15582-6_16⟩
Communication dans un congrès hal-00506599v1
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Memory efficient scheduling of Strassen-Winograd's matrix multiplication algorithm

Brice Boyer , Jean-Guillaume Dumas , Clément Pernet , Wei Zhou
ISSAC 2009 - International Symposium on Symbolic and Algebraic Computation, Jul 2009, Séoul, South Korea. pp.55-62, ⟨10.1145/1576702.1576713⟩
Communication dans un congrès hal-00163141v5
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Verification Protocols with Sub-Linear Communication for Polynomial Matrix Operations

David Lucas , Vincent Neiger , Clément Pernet , Daniel S. Roche , Johan Rosenkilde
Journal of Symbolic Computation, 2021, 105, pp.165--198. ⟨10.1016/j.jsc.2020.06.006⟩
Article dans une revue hal-01829139v2

Computational Mathematics with SageMath

Paul Zimmermann , Alexandre Casamayou , Nathann Cohen , Guillaume Connan , Thierry Dumont , et al.
SIAM, 2018, 978-1-61197-545-1. ⟨10.1137/1.9781611975468⟩
Ouvrages hal-01646401v1
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Strassen's algorithm is not optimally accurate

Jean-Guillaume Dumas , Clément Pernet , Alexandre Sedoglavic
2024
Pré-publication, Document de travail hal-04441653v1
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Symmetric indefinite triangular factorization revealing the rank profile matrix

Jean-Guillaume Dumas , Clément Pernet
ISSAC'18, Jul 2018, New York, United States. pp.151-158, ⟨10.1145/3208976.3209019⟩
Communication dans un congrès hal-01704793v1
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Computing with quasiseparable matrices

Clément Pernet
International Symposium on Symbolic and Algebraic Computation (ISSAC'16), Jul 2016, Waterloo, Canada. pp.389-396, ⟨10.1145/2930889.2930915⟩
Communication dans un congrès hal-01264131v2
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Elements of Design for Containers and Solutions in the LinBox Library

Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi , Clément Pernet , B. David Saunders
ICMS: International Congress on Mathematical Software, Aug 2014, Seoul, South Korea. pp.654-662, ⟨10.1007/978-3-662-44199-2_98⟩
Communication dans un congrès hal-01015138v1
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High-order lifting for polynomial Sylvester matrices

Clément Pernet , Hippolyte Signargout , Gilles Villard
Journal of Complexity, 2023, 80, ⟨10.1016/j.jco.2023.101803⟩
Article dans une revue hal-03740320v3
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Fast Computation of the Rank Profile Matrix and the Generalized Bruhat Decomposition

Jean-Guillaume Dumas , Clément Pernet , Ziad Sultan
Journal of Symbolic Computation, 2017, Special issue on ISSAC'15, 83, pp.187-210. ⟨10.1016/j.jsc.2016.11.011⟩
Article dans une revue hal-01251223v2
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Exact computations with quasiseparable matrices

Clément Pernet , Hippolyte Signargout , Gilles Villard
ISSAC'23: the 2023 International Symposium on Symbolic and Algebraic Computation, Jul 2023, Tromso, Norway. pp.480-489, ⟨10.1145/2930889.2930915⟩
Communication dans un congrès hal-03978799v1
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Simultaneous computation of the row and column rank profiles

Jean-Guillaume Dumas , Clément Pernet , Ziad Sultan
ISSAC 2013 - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, MA, United States. pp.181-188, ⟨10.1145/2465506.2465517⟩
Communication dans un congrès hal-00778136v1

Hermite Interpolation With Error Correction

Erich Kaltofen , Clément Pernet , Zhi-Hong Yang
ISSAC '21: International Symposium on Symbolic and Algebraic Computation, Jul 2021, Virtual Event, Russia. pp.241-247, ⟨10.1145/3452143.3465525⟩
Communication dans un congrès hal-03350894v1
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On finding multiplicities of characteristic polynomial factors of black-box matrices

Jean-Guillaume Dumas , Clément Pernet , B. David Saunders
ISSAC 2009 - International Symposium on Symbolic and Algebraic Computation, Jul 2009, Séoul, South Korea. pp.135-142, ⟨10.1145/1576702.1576723⟩
Communication dans un congrès hal-00357262v2
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Calcul mathématique avec Sage

Alexandre Casamayou , Nathann Cohen , Guillaume Connan , Thierry Dumont , Laurent Fousse , et al.
CreateSpace, pp.468, 2013, 9781481191043
Ouvrages inria-00540485v2
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Leading constants of rank deficient Gaussian elimination

Clément Pernet , Hippolyte Signargout , Gilles Villard
2023
Pré-publication, Document de travail hal-03976168v1
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Secure Multi-Party Matrix Multiplication Based on Strassen-Winograd Algorithm

Jean-Guillaume Dumas , Pascal Lafourcade , Julio Lopez Fenner , David Lucas , Jean-Baptiste Orfila , et al.
The 14th International Workshop on Security (IWSEC 2019), Aug 2019, Tokyo, Japan. pp.67-88, ⟨10.1007/978-3-030-26834-3_5⟩
Communication dans un congrès hal-01781554v3
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Deterministic computation of the characteristic polynomial in the time of matrix multiplication

Vincent Neiger , Clément Pernet
Journal of Complexity, 2021, 67, pp.101572. ⟨10.1016/j.jco.2021.101572⟩
Article dans une revue hal-02963147v2
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Certificates for triangular equivalence and rank profiles

Jean-Guillaume Dumas , David Lucas , Clément Pernet
ACM International Symposium on Symbolic and Algebraic Computations - ISSAC'17, Jul 2017, Kaiserslautern, Germany. pp.133-140, ⟨10.1145/3087604.3087609⟩
Communication dans un congrès hal-01466093v2
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Parallel computation of echelon forms

Jean-Guillaume Dumas , Thierry Gautier , Clément Pernet , Ziad Sultan
EuroPar-2014 - 20th International Conference on Parallel Processing, Aug 2014, Porto, Portugal. pp.499-510, ⟨10.1007/978-3-319-09873-9_42⟩
Communication dans un congrès hal-00947013v1
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Computational linear algebra over finite fields

Jean-Guillaume Dumas , Clément Pernet
Gary L. Mullen and Daniel Panario. Handbook of Finite Fields, Chapman & Hall / CRC, pp.514-528, 2013, Discrete Mathematics and Its Applications, 9781439873786
Chapitre d'ouvrage hal-00688254v1

Early Termination in Parametric Linear System Solving and Rational Function Vector Recovery with Error Correction

Erich Kaltofen , Clément Pernet , Arne Storjohann , Cleveland Waddell
ISSAC'17 - 2017 ACM International Symposium on Symbolic and Algebraic Computation, Jul 2017, Kaiserslautern, Germany. ⟨10.1145/3087604.3087645⟩
Communication dans un congrès hal-01982114v1
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Computing the Characteristic Polynomial of Generic Toeplitz-like and Hankel-like Matrices

Clément Pernet , Hippolyte Signargout , Pierre Karpman , Gilles Villard
ISSAC 2021 - International Symposium on Symbolic and Algebraic Computation, Jul 2021, Saint Petersburg, Russia. pp.249-256, ⟨10.1145/3452143.3465542⟩
Communication dans un congrès hal-03189115v1