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Gilles Villard
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- affiliation: ENS Lyon, France
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2020 – today
- 2024
- [j25]Vincent Neiger, Bruno Salvy, Éric Schost, Gilles Villard:
Faster Modular Composition. J. ACM 71(2): 11:1-11:79 (2024) - [j24]Clément Pernet, Hippolyte Signargout, Gilles Villard:
High-order lifting for polynomial Sylvester matrices. J. Complex. 80: 101803 (2024) - [c39]Vincent Neiger, Clément Pernet, Gilles Villard:
Computing Krylov iterates in the time of matrix multiplication. ISSAC 2024: 419-428 - [i19]Vincent Neiger, Clément Pernet, Gilles Villard:
Computing Krylov iterates in the time of matrix multiplication. CoRR abs/2402.07345 (2024) - 2023
- [c38]Clément Pernet, Hippolyte Signargout, Gilles Villard:
Exact computations with quasiseparable matrices. ISSAC 2023: 480-489 - [c37]Gilles Villard:
Elimination ideal and bivariate resultant over finite fields. ISSAC 2023: 526-534 - [i18]Clément Pernet, Hippolyte Signargout, Gilles Villard:
Exact computations with quasiseparable matrices. CoRR abs/2302.04515 (2023) - [i17]Gilles Villard:
Elimination ideal and bivariate resultant over finite fields. CoRR abs/2302.08891 (2023) - 2021
- [c36]Pierre Karpman, Clément Pernet, Hippolyte Signargout, Gilles Villard:
Computing the Characteristic Polynomial of Generic Toeplitz-like and Hankel-like Matrices. ISSAC 2021: 249-256 - [i16]Clément Pernet, Hippolyte Signargout, Pierre Karpman, Gilles Villard:
Computing the Characteristic Polynomial of Generic Toeplitz-like and Hankel-like Matrices. CoRR abs/2104.02497 (2021) - [i15]Vincent Neiger, Bruno Salvy, Éric Schost, Gilles Villard:
Faster Modular Composition. CoRR abs/2110.08354 (2021) - 2020
- [j23]Claude-Pierre Jeannerod, Vincent Neiger, Gilles Villard:
Fast computation of approximant bases in canonical form. J. Symb. Comput. 98: 192-224 (2020)
2010 – 2019
- 2018
- [c35]Jingwei Chen, Damien Stehlé, Gilles Villard:
Computing an LLL-reduced Basis of the Orthogonal Latice. ISSAC 2018: 127-133 - [c34]Gilles Villard:
On Computing the Resultant of Generic Bivariate Polynomials. ISSAC 2018: 391-398 - [i14]Claude-Pierre Jeannerod, Vincent Neiger, Gilles Villard:
Fast computation of approximant bases in canonical form. CoRR abs/1801.04553 (2018) - [i13]Jingwei Chen, Damien Stehlé, Gilles Villard:
Computing an LLL-reduced basis of the orthogonal lattice. CoRR abs/1805.03418 (2018) - 2017
- [j22]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Computing minimal interpolation bases. J. Symb. Comput. 83: 272-314 (2017) - [c33]Jean-Guillaume Dumas, Erich L. Kaltofen, Gilles Villard, Lihong Zhi:
Polynomial Time Interactive Proofs for Linear Algebra with Exponential Matrix Dimensions and Scalars Given by Polynomial Time Circuits. ISSAC 2017: 125-132 - 2016
- [c32]Jean-Guillaume Dumas, Erich L. Kaltofen, Emmanuel Thomé, Gilles Villard:
Linear Time Interactive Certificates for the Minimal Polynomial and the Determinant of a Sparse Matrix. ISSAC 2016: 199-206 - [c31]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts. ISSAC 2016: 295-302 - [i12]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Fast computation of minimal interpolation bases in Popov form for arbitrary shifts. CoRR abs/1602.00651 (2016) - [i11]Jean-Guillaume Dumas, Erich L. Kaltofen, Emmanuel Thomé, Gilles Villard:
Linear Time Interactive Certificates for the Minimal Polynomial and the Determinant of a Sparse Matrix. CoRR abs/1602.00810 (2016) - 2015
- [j21]Muhammad F. I. Chowdhury, Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Faster Algorithms for Multivariate Interpolation With Multiplicities and Simultaneous Polynomial Approximations. IEEE Trans. Inf. Theory 61(5): 2370-2387 (2015) - [i10]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Computing minimal interpolation bases. CoRR abs/1512.03503 (2015) - 2014
- [c30]Saruchi, Ivan Morel, Damien Stehlé, Gilles Villard:
LLL reducing with the most significant bits. ISSAC 2014: 367-374 - [i9]Muhammad F. I. Chowdhury, Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Faster Algorithms for Multivariate Interpolation with Multiplicities and Simultaneous Polynomial Approximations. CoRR abs/1402.0643 (2014) - 2013
- [c29]Jingwei Chen, Damien Stehlé, Gilles Villard:
A new view on HJLS and PSLQ: sums and projections of lattices. ISSAC 2013: 149-156 - 2012
- [j20]Xiao-Wen Chang, Damien Stehlé, Gilles Villard:
Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction. Math. Comput. 81(279): 1487-1511 (2012) - 2011
- [j19]Gilles Villard:
Kaltofen's division-free determinant algorithm differentiated for matrix adjoint computation. J. Symb. Comput. 46(7): 773-790 (2011) - [c28]Gilles Villard:
Recent progress in linear algebra and lattice basis reduction. ISSAC 2011: 3-4 - [c27]Andrew Novocin, Damien Stehlé, Gilles Villard:
An LLL-reduction algorithm with quasi-linear time complexity: extended abstract. STOC 2011: 403-412 - 2010
- [j18]Ivan Morel, Damien Stehlé, Gilles Villard:
Analyse numérique et réduction de réseaux. Tech. Sci. Informatiques 29(1): 115-144 (2010)
2000 – 2009
- 2009
- [j17]Claude-Pierre Jeannerod, Christophe Mouilleron, Gilles Villard:
Extending Cardinal's algorithm to a broader class of structured matrices. ACM Commun. Comput. Algebra 43(3/4): 84-85 (2009) - [c26]Claude-Pierre Jeannerod, Herve Knochel, Christophe Monat, Guillaume Revy, Gilles Villard:
A New Binary Floating-Point Division Algorithm and Its Software Implementation on the ST231 Processor. IEEE Symposium on Computer Arithmetic 2009: 95-103 - [c25]Ivan Morel, Damien Stehlé, Gilles Villard:
H-LLL: using householder inside LLL. ISSAC 2009: 271-278 - 2008
- [j16]Ivan Morel, Damien Stehlé, Gilles Villard:
From an LLL-reduced basis to another. ACM Commun. Comput. Algebra 42(3): 142-143 (2008) - [i8]Gilles Villard:
Differentiation of Kaltofen's division-free determinant algorithm. CoRR abs/0804.1021 (2008) - [i7]Gilles Villard:
Kaltofen's division-free determinant algorithm differentiated for matrix adjoint computation. CoRR abs/0810.5647 (2008) - 2007
- [c24]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Faster inversion and other black box matrix computations using efficient block projections. ISSAC 2007: 143-150 - [c23]Gilles Villard:
Certification of the QR factor R and of lattice basis reducedness. ISSAC 2007: 361-368 - [c22]Gilles Villard:
Some recent progress in exact linear algebra and related questions. ISSAC 2007: 391-392 - [i6]Gilles Villard:
Certification of the QR factor R, and of lattice basis reducedness. CoRR abs/cs/0701183 (2007) - [i5]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Faster Inversion and Other Black Box Matrix Computations Using Efficient Block Projections. CoRR abs/cs/0701188 (2007) - 2006
- [j15]Bernhard Beckermann, George Labahn, Gilles Villard:
Normal forms for general polynomial matrices. J. Symb. Comput. 41(6): 708-737 (2006) - [c21]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Solving sparse rational linear systems. ISSAC 2006: 63-70 - [i4]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Solving Sparse Integer Linear Systems. CoRR abs/cs/0603082 (2006) - 2005
- [j14]Erich L. Kaltofen, Gilles Villard:
On the complexity of computing determinants. Comput. Complex. 13(3-4): 91-130 (2005) - [j13]Claude-Pierre Jeannerod, Gilles Villard:
Essentially optimal computation of the inverse of generic polynomial matrices. J. Complex. 21(1): 72-86 (2005) - [j12]Alain Darte, Robert Schreiber, Gilles Villard:
Lattice-Based Memory Allocation. IEEE Trans. Computers 54(10): 1242-1257 (2005) - [c20]Arne Storjohann, Gilles Villard:
Computing the rank and a small nullspace basis of a polynomial matrix. ISSAC 2005: 309-316 - [i3]Arne Storjohann, Gilles Villard:
Computing the Rank and a Small Nullspace Basis of a Polynomial Matrix. CoRR abs/cs/0505030 (2005) - [i2]Claude-Pierre Jeannerod, Gilles Villard:
Asymptotically fast polynomial matrix algorithms for multivariable systems. CoRR abs/cs/0508113 (2005) - [i1]Clément Pernet, Aude Rondepierre, Gilles Villard:
Computing the Kalman form. CoRR abs/cs/0510014 (2005) - 2003
- [c19]Alain Darte, Robert Schreiber, Gilles Villard:
Lattice-based memory allocation. CASES 2003: 298-308 - [c18]Pascal Giorgi, Claude-Pierre Jeannerod, Gilles Villard:
On the complexity of polynomial matrix computations. ISSAC 2003: 135-142 - 2002
- [j11]Gilles Villard:
Preface. J. Symb. Comput. 33(5): 519 (2002) - 2001
- [j10]Jean-Guillaume Dumas, B. David Saunders, Gilles Villard:
On Efficient Sparse Integer Matrix Smith Normal Form Computations. J. Symb. Comput. 32(1/2): 71-99 (2001) - [e1]Erich L. Kaltofen, Gilles Villard:
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, ISSAC 2001, ORCCA & University of Western Ontario, London, Ontario, Canada, July 22-25, 2001. ACM 2001, ISBN 1-58113-417-7 [contents] - 2000
- [j9]Gilles Villard:
Processor Efficient Parallel Solution of Linear Systems of Equations. J. Algorithms 35(1): 122-126 (2000) - [c17]Wayne Eberly, Mark Giesbrecht, Gilles Villard:
Computing the Determinant and Smith Form of an Integer Matrix. FOCS 2000: 675-685 - [c16]Jean-Guillaume Dumas, B. David Saunders, Gilles Villard:
Integer Smith form via the valence: experience with large sparse matrices from homology. ISSAC 2000: 95-105
1990 – 1999
- 1999
- [c15]Bernhard Beckermann, George Labahn, Gilles Villard:
Shifted Normal Forms of Polynomial Matrices. ISSAC 1999: 189-196 - 1998
- [j8]Gilles Villard:
Block solution of sparse linear systems over GF (q): the singular case. SIGSAM Bull. 32(4): 10-12 (1998) - [j7]René Aïd, Laurent Testard, Gilles Villard:
Global Error Visualization. J. Univers. Comput. Sci. 4(2): 90-98 (1998) - 1997
- [j6]Gilles Villard:
Fast Parallel Algorithms for Matrix Reduction to Normal Forms. Appl. Algebra Eng. Commun. Comput. 8(6): 511-537 (1997) - [c14]Gilles Villard:
Further Analysis of Coppersmith's Block Wiedemann Algorithm for the Solution of Sparse Linear Systems (Extended Abstract). ISSAC 1997: 32-39 - 1996
- [j5]Jean-Louis Roch, Gilles Villard:
Fast Parallel Computation of the Jordan Normal Form of Matrices. Parallel Process. Lett. 6(2): 203-212 (1996) - [j4]Jean-Claude Bajard, Christiane Frougny, Jean-Michel Muller, Gilles Villard:
Forword to the Special Issue on Real Numbers and Computers. Theor. Comput. Sci. 162(1): 1-3 (1996) - [c13]Gilles Villard:
Computing Popov and Hermite Forms of Polynomial Matrices. ISSAC 1996: 250-258 - 1995
- [j3]Gilles Villard:
Generalized Subresultants for Computing the Smith Normal Form of Polynomial Matrices. J. Symb. Comput. 20(3): 269-286 (1995) - [c12]Thierry Gautier, Jean-Louis Roch, Gilles Villard:
Regular versus Irregular Problems and Algorithms. IRREGULAR 1995: 1-25 - [c11]M. P. Quéré, Gilles Villard:
An Algorithm for the Reduction of Linear DAE. ISSAC 1995: 223-231 - 1994
- [c10]Jean-Louis Roch, A. Vermeerbergen, Gilles Villard:
A New Load-Prediction Scheme Based on Algorithmic Cost Functions. CONPAR 1994: 878-889 - [c9]Gilles Villard:
Fast Parallel Computation of the Smith Normal Form of Polynomial Matrices. ISSAC 1994: 312-317 - [c8]Jean-Louis Roch, Gilles Villard:
Parallel Computations with Algebraic Numbers - A Case Study: Jordan Normal Form of Matrices. PARLE 1994: 701-712 - 1993
- [c7]Gilles Villard:
Computation of the Smith Normal Form of Polynomial Matrices. ISSAC 1993: 209-217 - 1992
- [c6]Jean-Louis Roch, A. Vermeerbergen, Gilles Villard:
Cost Prediction for Load Balancing: Application to Algebraic Computations. CONPAR 1992: 467-478 - [c5]Jean-Louis Roch, Gilles Villard:
Parallel gcd and Lattice Basis Reduction. CONPAR 1992: 557-564 - [c4]Gilles Villard:
Parallel Lattice Basis Reduction. ISSAC 1992: 269-277 - 1991
- [c3]Françoise Roch-Siebert, Gilles Villard:
PAC: First Experiments on a 128 Transputers Méganode. ISSAC 1991: 343-351
1980 – 1989
- 1989
- [j2]Jean-Louis Roch, Pascale Sénéchaud, Françoise Siebert-Roch, Gilles Villard:
Computer algebra on MIMD machine. SIGSAM Bull. 23(1): 16-32 (1989) - [j1]Yves Robert, Bernard Tourancheau, Gilles Villard:
Data Allocation Strategies for the Gauss and Jordan Algorithms on a Ring of Processors. Inf. Process. Lett. 31(1): 21-29 (1989) - 1988
- [b1]Gilles Villard:
Calcul formel et parallélisme : résolution de systèmes linéaires. (Parallel algebraic computation. Solution of linear systems). Grenoble Institute of Technology, France, 1988 - [c2]Jean-Louis Roch, Pascale Sénéchaud, Françoise Roch-Siebert, Gilles Villard:
Computer Algebra on MIMD Machine. ISSAC 1988: 423-439 - 1987
- [c1]Michel Cosnard, Bernard Tourancheau, Gilles Villard:
Gaussian Elimination on Message Passing Architecture. ICS 1987: 611-628
Coauthor Index
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