Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2012; 27(1): 207-215

Printed March 1, 2012

https://doi.org/10.4134/CKMS.2012.27.1.207

Copyright © The Korean Mathematical Society.

Comparison results for the preconditioned Gauss-Seidel methods

Jae Heon Yun

Chungbuk National University

Abstract

In this paper, we provide comparison results of several types ofthe preconditioned Gauss-Seidel methods for solving a linear system whose coefficient matrix is a $Z$-matrix. Lastly, numerical results are presented to illustrate the theoretical results.

Keywords: $Z$-matrix, preconditioned Gauss-Seidel method, spectral radius

MSC numbers: 65F10, 65F15

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