Gilles VILLARD    Directeur de recherche CNRS/INS2I
AriC project-team
Laboratoire LIP   [CNRS  ENSL  INRIA  UCBL  U. Lyon ]
  46, Allée d'Italie F69364   Lyon   Cedex 07
Member of the CoNRS section 6

PUBLICATIONS    Detailed list / co-authors.

Selected:

  • P. Karpman, C. Pernet, H. Signargout, G. Villard. Computing the characteristic polynomial of generic Toeplitz-like and Hankel-like Matrices. ISSAC 2021, to appear, pdf.
  • C.-P. Jeannerod, V. Neiger, G. Villard. Fast computation of approximant bases in canonical form. Journal of Symbolic Computation, 98:192-224, 2020, pdf/doi.
  • G. Villard. On computing the resultant of generic bivariate polynomials. ISSAC'18, New York, USA, 2018, pdf/doi, and maple worksheets.
  • J.-G. Dumas, E.Kaltofen, G.Villard, L. Zhi. Polynomial time interactive proofs for linear algebra with exponential matrix dimensions and scalars given by polynomial time circuits. ISSAC'17, Kaiserslautern, Germany, 2017, pdf/doi.
  • C.-P. Jeannerod, V. Neiger, É. Schost, G. Villard. Computing minimal interpolation bases, J. of Symbolic Computation, 83:272-314, 2017, pdf/doi.
  • Saruchi, I. Morel, D. Stehlé, G. Villard. LLL reducing with the most significant bits. ISSAC'14, Kobe, Japan, 2014, pdf/doi.
  • X.-W. Chang, D. Stehlé, G. Villard. Perturbation analysis of the QR factor R in the context of LLL lattice basis reduction, Mathematics of Computation, 81(279):1487-1511, 2012, pdf/doi.
  • G. Villard. Recent progress in linear algebra and lattice basis reduction. ISSAC'11, San Jose, California, 2011, invited, pdf/doi.
  • A. Novocin, D. Stehlé, G. Villard. An LLL-reduction algorithm with quasi-linear time complexity, STOC, San Jose, California, 2011, pdf/doi.
  • E. Kaltofen, G. Villard. On the complexity of computing determinants. Computational Complexity, 13:91-130, 2005, pdf/doi.

    SOFTWARE

  • Extended precision floating-point benchmarks.
  • Hplll software library home page,  GitHub repository.
  • LinBox joint CNRS/NSF project LinBox Team GitHub (linalg.org).
  • The Givaro page, a C++ library for computer algebra.

    • TO SEE

    International Linear Algebra Society         GDR CNRS Informatique Mathématique - GT Arithmétique - GT Calcul Formel

            ISSAC 2021, 46th International Symposium on Symbolic and Algebraic Computation, 18-22 July 2021, Saint Petersburg, Russia.
            ACA 2021, 26th International Conference on Applications of Computer Algebra, 23-27 July 2021, virtual, online.
            FCT 2021, 23rd International Symposium on Fundamentals of Computation Theory, September 12-15, 2021, Athens, Greece.
            CASC 2021, 23nd International Workshop in Computer Algebra in Scientific Computing, Sochi, Russia, 13-17 September 2021.
            FOCS 2021, 62nd Annual IEEE Symposium on Foundations of Computer Science, early 2022.

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