@article{M2AN_1993__27_6_651_0,
author = {Delesalle, D. and Desbat, L. and Trystram, D.},
title = {R\'esolution de grands syst\`emes lin\'eaires creux par m\'ethodes it\'eratives parall\`eles},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {651--671},
year = {1993},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {27},
number = {6},
mrnumber = {1246994},
zbl = {0791.65015},
language = {fr},
url = {https://www.numdam.org/item/M2AN_1993__27_6_651_0/}
}
TY - JOUR AU - Delesalle, D. AU - Desbat, L. AU - Trystram, D. TI - Résolution de grands systèmes linéaires creux par méthodes itératives parallèles JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1993 SP - 651 EP - 671 VL - 27 IS - 6 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1993__27_6_651_0/ LA - fr ID - M2AN_1993__27_6_651_0 ER -
%0 Journal Article %A Delesalle, D. %A Desbat, L. %A Trystram, D. %T Résolution de grands systèmes linéaires creux par méthodes itératives parallèles %J ESAIM: Modélisation mathématique et analyse numérique %D 1993 %P 651-671 %V 27 %N 6 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1993__27_6_651_0/ %G fr %F M2AN_1993__27_6_651_0
Delesalle, D.; Desbat, L.; Trystram, D. Résolution de grands systèmes linéaires creux par méthodes itératives parallèles. ESAIM: Modélisation mathématique et analyse numérique, Tome 27 (1993) no. 6, pp. 651-671. https://www.numdam.org/item/M2AN_1993__27_6_651_0/
[1] , , , 1990, A Taxonomy For Conjugate Gradient Methods, Siam J. Numer. Anal., 27. | Zbl | MR
[2] , 1991, Contribution du parallélisme à la résolution d'un problème de répartition de charge dans les réseaux électriques, Thèse de l'institut polytechnique de Grenoble.
[3] , , , 1984, A Generalized Conjugate Gradient for the Numerical Solution of Elliptic Partial Differential Equations, in Numerical Analysis, série SIAM. | Zbl
[4] , , , 1990, Tout ce que vous voulez savoir sur la Connection Machine, Rapport de Recherche LMC-IMAG.
[5] , 1990, Critères de Choix des Paramètres de Régularisation : Application à la déconvolution, Thèse de l'université Joseph Fourier, Annexe B : Gradient Conjugué et parallélisme.
[6] , , , , , , 1988, A project for developing a Linear Algebra Library for high-performance computer, Aspect of computation on asynchronous parallel processors, M. Wright.
[7] , , , , 1991, Solving Linear Systems on Vector and Shared Memory Computers, Siam. | Zbl | MR
[8] , , , , 1979, LINPACK user's guide, Siam philadelphia. | Zbl
[9] , 1972, Some computer organisations and their effectiveness, IEEE Trans. on Computers C-21, 9. | Zbl
[10] et al., 1988, Solving problems on concurrent processors : General techniques and regular problems (vol. I), Prentice-Hall.
[11] , , 1983, Résolution numérique des grands systèmes linéaires, Eyrolles Paris, collection CEA/EDF. | Zbl | MR
[12] , , 1961, Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second other Richardson iterative methods, Part I et Part II, Numerische Mathematik. | Zbl
[13] , , 1989, Matrix Computation, Second edition, Johns Hopkins. | Zbl | MR
[14] , , 1986, A preconditioning technique based on element matrix factorisations, Comp. Meth. Appl. Mech. Engng., 55. | Zbl | MR
[15] and , 1981, Applied Iterative Methods, Academic Press. | Zbl | MR
[16] et al., 1989, A proposed domain decomposition technique for finite element on FPS T-serie, Proceedings of 4th Conf. Hypercube.
[17] , , 1952, Methods of Conjugate Gradient for Solving Linear Systems, Journal Res. Nat. Bur. Stan., vol. 49. | Zbl | MR
[18] , , 1984, Computer Architecture and Parallel Processing, McGraw-Hill. | Zbl
[19] , and , 1983, Polynomial Preconditionnings for Conjugate Gradient Calculations, SIAM J. Numer. Anal., vol. 20, pp. 362-376. | Zbl | MR
[20] , , 1987, Calcul matriciel appliqué à l'art de l'ingénieur, Masson. | Zbl | MR
[21] , , 1988, Parallel conjugate gradient algorithm with local decomposition, Rapport de recherche TIM3-IMAG.
[22] , 1989, Connection Machine Application Performance, Boulder Research report. | Zbl
[23] THINKING MACHINE CORPORATION, 1991, Connection Machine CM-200 Serie, Technical Summary.
[24] , 1983 Practical use of polynomial preconditionings for the conjugate gradient method, Yale Research report YALEU/DCS/RR-282. | Zbl
[25] , , and , 1991, Performance effects of irregular communications patterns on massively parallel multiprocessors, NASA Contracter Report 187514.
[26] , 1989, The Preconditioned Conjugate Gradient Method on the Connection Machine. Int. Jour. of Hight Speed Comp., vol. 1. | Zbl






