Gilles Villard

Available identifiers

zbMath Open villard.gillesMaRDI QIDQ540326

List of research outcomes

Publication	Date of Publication	Type
High-order lifting for polynomial Sylvester matrices	2024-02-05	Paper
Exact computations with quasiseparable matrices	2023-11-03	Paper
Elimination ideal and bivariate resultant over finite fields	2023-11-03	Paper
Polynomial Time Interactive Proofs for Linear Algebra with Exponential Matrix Dimensions and Scalars Given by Polynomial Time Circuits	2020-09-09	Paper
Computing an LLL-reduced Basis of the Orthogonal Latice	2020-09-09	Paper
On Computing the Resultant of Generic Bivariate Polynomials	2020-09-09	Paper
Fast computation of approximant bases in canonical form	2020-01-15	Paper
Computing minimal interpolation bases	2017-06-01	Paper
Linear Time Interactive Certificates for the Minimal Polynomial and the Determinant of a Sparse Matrix	2017-05-10	Paper
Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts	2017-05-10	Paper
Faster Algorithms for Multivariate Interpolation With Multiplicities and Simultaneous Polynomial Approximations	2017-04-28	Paper
A new view on HJLS and PSLQ	2017-02-10	Paper
Solving sparse rational linear systems	2017-02-03	Paper
Integer Smith form via the valence	2015-11-26	Paper
LLL reducing with the most significant bits	2015-11-11	Paper
Computing the rank and a small nullspace basis of a polynomial matrix	2015-07-16	Paper
An LLL-reduction algorithm with quasi-linear time complexity	2014-06-05	Paper
Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction	2012-06-29	Paper
H-LLL	2012-05-13	Paper
Kaltofen's division-free determinant algorithm differentiated for matrix adjoint computation	2011-06-01	Paper
https://portal.mardi4nfdi.de/entity/Q5301663	2009-01-20	Paper
https://portal.mardi4nfdi.de/entity/Q5301693	2009-01-20	Paper
https://portal.mardi4nfdi.de/entity/Q5301698	2009-01-20	Paper
Asymptotically fast polynomial matrix algorithms for multivariable systems	2007-10-31	Paper
Normal forms for general polynomial matrices	2007-10-23	Paper
https://portal.mardi4nfdi.de/entity/Q4660659	2005-04-04	Paper
On the complexity of computing determinants	2005-03-01	Paper
Essentially optimal computation of the inverse of generic polynomial matrices	2005-02-22	Paper
Block solution of sparse linear systems over GF (q)	2004-09-01	Paper
On efficient sparse integer matrix Smith normal form computations	2004-08-06	Paper
A rank theorem for Vandermonde matrices	2004-08-06	Paper
Matrix rank certification	2004-02-15	Paper
Computing the sign or the value of the determinant of an integer matrix, a complexity survey.	2004-01-26	Paper
https://portal.mardi4nfdi.de/entity/Q4550785	2003-06-11	Paper
https://portal.mardi4nfdi.de/entity/Q4790434	2003-01-28	Paper
Efficient matrix preconditioners for black box linear algebra	2002-05-15	Paper
https://portal.mardi4nfdi.de/entity/Q4234329	2002-01-30	Paper
https://portal.mardi4nfdi.de/entity/Q2702027	2002-01-08	Paper
https://portal.mardi4nfdi.de/entity/Q4520739	2001-02-27	Paper
Processor Efficient Parallel Solution of Linear Systems of Equations	2000-10-04	Paper
https://portal.mardi4nfdi.de/entity/Q4234198	2000-06-27	Paper
https://portal.mardi4nfdi.de/entity/Q4234250	1999-09-29	Paper
https://portal.mardi4nfdi.de/entity/Q4237426	1999-08-12	Paper
https://portal.mardi4nfdi.de/entity/Q4227300	1999-07-05	Paper
https://portal.mardi4nfdi.de/entity/Q4227350	1999-04-22	Paper
https://portal.mardi4nfdi.de/entity/Q4226935	1999-02-23	Paper
Fast parallel algorithms for matrix reduction to normal forms	1998-07-28	Paper
https://portal.mardi4nfdi.de/entity/Q4888753	1996-08-19	Paper
Generalized subresultants for computing the Smith normal form of polynomial matrices	1996-06-04	Paper
Data allocation strategies for the Gauss and Jordan algorithms on a ring of processors	1989-01-01	Paper
Computer algebra on MIMD machine	1989-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q5753518	1989-01-01	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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instance of	human

This page was built for person: Gilles Villard