JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Articles
A parameter optimization technique for a weighted Jacobi-type preconditioner
Akira ImakuraTetsuya SakuraiKohsuke SumiyoshiHideo Matsufuru
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2012 Volume 4 Pages 41-44

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Abstract

The Jacobi preconditioner is well known as a preconditioner with high parallel efficiency to solve very large linear systems. However, the Jacobi preconditioner does not always show the great improvement of the convergence rate, because of the poor convergence property of the Jacobi method. In this paper, in order to improve the quality of the Jacobi preconditioner without loss its parallel efficiency, we introduce a weighted Jacobi-type preconditioner, and propose an optimization technique for the weight parameter. The numerical experiments indicate that the proposed preconditioner has higher quality and is more efficient than the traditional Jacobi preconditioner.

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© 2012 The Japan Society for Industrial and Applied Mathematics
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