Published March 1984 | Version v1
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Numerical comparisons of various pre-conditioners for the conjugate gradient method on CRAY 1-S and CDC CYBER 205

Creators

  • 1. Centre d'Etudes de Limeil, B.P. 27 94190 Villeneuve-Saint-Georges (France)

Description

The aim of this paper is the efficient use of the conjugate gradient method to solve symmetric linear systems on vector computers. Several vectors pre-conditioners are reviewed and a new one is suggested. Numerical experiments are given for CRAY 1-S and CDC CYBER 205. (author)

Abstract (French)

On considere l'utilisation de la methode du gradient conjugue pour resoudre des systemes lineaires symetriques sur des machines vectorielles. On presente plusieurs preconditionnements vectoriels et on compare leur efficacite sur le CRAY 1-S et le CDC CYBER 205. (auteur)

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Additional details

Additional titles

Original title (French)
Comparaisons numeriques de differents preconditionnements pour la methode du gradient conjugue sur CRAY 1-S et sur CYBER 205

Publishing Information

Imprint Pagination
40 p.
Report number
CEA-N--2394

INIS

Country of Publication
France
Country of Input or Organization
France
INIS RN
49089161
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S46: INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY;
Descriptors DEI
ALGORITHMS; CDC COMPUTERS; COMPARATIVE EVALUATIONS; COMPUTER CALCULATIONS; CONVERGENCE; CRAY COMPUTERS; FINITE DIFFERENCE METHOD; FORTRAN; MATRICES; MEMORY MANAGEMENT; MESH GENERATION; NEUMANN SERIES; PARTIAL DIFFERENTIAL EQUATIONS; PERFORMANCE TESTING; POLYNOMIALS; VECTORS
Descriptors DEC
CALCULATION METHODS; COMPUTERS; DATA PROCESSING; DIFFERENTIAL EQUATIONS; EQUATIONS; EVALUATION; FUNCTIONS; ITERATIVE METHODS; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; PROCESSING; PROGRAMMING LANGUAGES; SERIES EXPANSION; TENSORS; TESTING

Optional Information

Notes
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