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


Detailed list / co-authors.

  • 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.
  • J.-G. Dumas, E.Kaltofen, E. Thomé., G.Villard. Linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix. ISSAC'16, Waterloo, Canada, 2016, pdf/doi.
  • C.-P. Jeannerod, V. Neiger, É. Schost, G. Villard. Fast computation of minimal interpolation bases in Popov form for arbitrary shifts. ISSAC'16, Waterloo, Canada, 2016, pdf/doi.
  • Saruchi, I. Morel, D. Stehlé, G. Villard. LLL reducing with the most significant bits. ISSAC'14, Kobe, Japan, 2014, pdf/doi.
  • J. Chen, D. Stehlé, G. Villard. A new view on HJLS and PSLQ: sums and projections of lattices. ISSAC'13, Boston, USA, 2013, 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.


  • Hplll software library home page,  GitHub repository.
  • LinBox joint CNRS/NSF project home page.
  • The Givaro page, a C++ library for computer algebra.
  • TO SEE

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

            Numerical methods for algebraic curves, February 19-23, Rennes.
            WACT 2018, Workshop on Algebraic Complexity Theory - WACT 2018, Paris, March 5-9, 2018.
            STACS 2018, 35th International Symposium on Theoretical Aspects of Computer Science Feb. 28-March 3, 2018, Caen.
            Journées Nationales du GDR Informatique Mathématique, 3-6 avril 2018, École polytechnique, Palaiseau, France.
            ALA'18, SIAM Conference on Applied Linear Algebra Hong Kong Baptist University 4-8 May 2018.
            Structured Matrix Days, LIP ENS de Lyon, mid-May 2018.
            ACA 2018, 24th International Conference on Applications of Computer Algebra, Santiago de Compostela, Spain, June 18-22 2018.
            ARITH 2018, 25th IEEE Symposium on Computer Arithmetic, Amherst, MA, USA, June 25-27, 2018.
            ISSAC 2018, 43rd International Symposium on Symbolic and Algebraic Computation, New York, USA, July 16-19, 2018.
            ICMS 2018, The 6th International Congress on Mathematical Software, University of Notre Dame, Ind USA, July 24-27, 2018.
            FOCS 2018, 59th Annual IEEE Symposium on Foundations of Computer Science, Paris, France, October 7-9, 2018.