Publications of
Gene H. Golub, Daniel Ruiz, Ahmed Touhami
A Hybrid Approach Combining Chebyshev Filter and Conjugate Gradient for Solving Linear Systems with Multiple Right-Hand Sides
In : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 29 N. 3, pp. 774-795, 2007.
Luc Giraud, Daniel Ruiz, Ahmed Touhami
A comparative study of iterative solvers exploiting spectral information for SPD systems
In : SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 27 N. 5, pp. 1760-1786, 2006.
Daniel Loghin, Daniel Ruiz, Ahmed Touhami
Adaptive preconditioners for nonlinear systems of equations
In : Journal of Computational and Applied Mathematics, Elsevier, Vol. 189, pp. 326-374, 2006.
Frédéric Messine, Ahmed Touhami
A General Reliable Quadratic Form: an Extension of Affine Arithmetic
In : Reliable Computing, Springer, Vol. 12 N. 3, pp. 171-192, 2006.
Frédéric Messine, Ahmed Touhami
An Interval Branch-and-Bound Algorithm based on the General QuadraticForm
In : International Workshop on Global Optimization, Almería, Spain, 18/09/05-22/09/05, I. García, L.G. Casado, E.M.T. Hendrix, B. Tóth (Eds.), xx, pp. 171-176, September 2005.
Gene H. Golub, Daniel Ruiz, Ahmed Touhami
Chebyshev Polynomial preconditioners as a spectral filtering tool for the Conjugate Gradient method
In : 21st Biennial Conference on Numerical Analysis, Dundee, Scotland, U.K., 28/06/05-01/07/05.
Luc Giraud, Daniel Ruiz, Ahmed Touhami
A comparative study of iterative solvers exploiting spectral information for SPD systems
In : Eight Copper Mountain Conference on Iterative Methods, Copper Mountain Resort, Colorado, USA, 28/03/04-02/04/04.
Luc Giraud, Daniel Ruiz, Ahmed Touhami
Krylov and polynomial iterative solvers combined with partial spectral factorization for SPD linear systems
In : Vector and Parallel 2004, Valencia, Spain, 27/06/04-30/06/04, M. Daydé, J. M. Palma, J. Dongarra, V. Hernàndez (Eds.), In Lecture Notes in Computer Science, Vector and Parallel Processing, LNCS 3402, Springer-Verlag Berlin Heidelberg, June 2004.
Luc Giraud, Daniel Ruiz, Ahmed Touhami
Combining various iterative solvers with partial spectral factorization for the solution of SPD linear systems
In : IMET 2004, Iterative Methods, Preconditioning & Numerical PDEs, Prague, Czech Republic, 22/05/04-28/05/04, Radim Blaheta, Jiri Stary (Eds.).
Luc Giraud, Daniel Ruiz, Ahmed Touhami
Krylov and polynomial iterative solvers combined with partial spectral factorization for SPD linear systems
In : VECPAR’04, 6th International Meeting. High Performance Computing for Computational Science, Valencia, Spain, 27/06/04-30/06/04.
Daniel Loghin, Daniel Ruiz, Ahmed Touhami
Adaptive preconditioners for Newton-Krylov methods
In : IMET 2004, Iterative Methods, Preconditioning & Numerical PDEs, Prague, Czech Republic, 22/05/04-28/05/04, Radim Blaheta, Jiri Stary (Eds.).
Daniel Loghin, Daniel Ruiz, Ahmed Touhami
Adaptive preconditioners for nonlinear systems of equations
In : International Congress on Computational and Applied Mathematics, Katholieke Universiteit Leuven, Belgium, 26/07/04-30/07/04.
Frédéric Messine, Ahmed Touhami
Méthodes Déterministes d’Optimisation Globale basées sur l’Arithmétique Affine et Quadratique
In : 11 ème journées du groupe MODE de la SMAI, Pau, France, 27/03/03-29/03/03.
Luc Giraud, Daniel Ruiz, Ahmed Touhami
Two-Phase Solver versus Two-Level Preconditioner for solving Large Sparse and S.P.D Linear System
In : Sparse Days and Grid Computing at St. Girons, St. Girons, France, 10/06/03-13/06/03.
Utilisation des Filtres de Chebyshev et Construction de Préconditionneurs Spectraux pour l’Accélération des méthodes de Krylov
Master’s Thesis, Institut National Polytechnique de Toulouse, November 2005.