A parallel Gauss-Seidel method using NR data flow ordering

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A parallel variant of the block Gauss-Seidel method is presented to solve the Poisson equation with Dirichlet boundary condition. This method uses two-dimensional logically connected parallel processors. Furthermore, natural rowwise (NR) data flow block ordering is used so that its convergence rate is the same as that of the standard block Gauss-Seidel method. Spectral radius is determined by the formula for general k x I block iterative methods. Numerical computations on a parallel computer are included. (C) 1999 Published by Elsevier Science Inc. All rights reserved.
Publisher
ELSEVIER SCIENCE INC
Issue Date
1999-03
Language
English
Article Type
Article
Keywords

ITERATIVE METHODS; BLOCK

Citation

APPLIED MATHEMATICS AND COMPUTATION, v.99, no.2-3, pp.209 - 220

ISSN
0096-3003
DOI
10.1016/S0096-3003(98)00008-3
URI
http://hdl.handle.net/10203/8450
Appears in Collection
MA-Journal Papers(저널논문)
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