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Improving the modified Gauss-Seidel method for Z-matrices

✍ Scribed by Toshiyuki Kohno; Hisashi Kotakemori; Hiroshi Niki; Masataka Usui

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 409 KB
Volume: 267
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)80045-6

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✦ Synopsis

In 1991 A. D. Gunawardena et al. reported that the convergence rate of the Gauss-Seidel method with a preconditioning matrix Z + S is superior to that of the basic iterative method. In this paper, we use the preconditioning matrix Z + S(a). If a coefficient matrix A is an irreducibly diagonally dominant Z-matrix, then [I + S( a)]A is also a strictly diagonally dominant Z-matrix. It is shown that the proposed method is also superior to other iterative methods.

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