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PRECONDITIONED GAUSS-SEIDEL TYPE ITERATIVE METHOD FOR SOLVING LINEAR SYSTEMS

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  • School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, P. R. China

Received date: 2005-12-07

  Revised date: 2006-05-27

  Online published: 2006-09-18

Abstract

The preconditioned Gauss-Seidel type iterative method for solving linear systems, with the proper choice of the preconditioner, is presented. Convergence of the preconditioned method applied to Z-matrices is discussed. Also the optimal parameter is presented. Numerical results show that the proper choice of the preconditioner can lead to effective by the preconditioned Gauss-Seidel type iterative methods for solving linear systems.

Cite this article

CHENG Guang-hui;HUANG Ting-zhu;CHENG Xiao-yu . PRECONDITIONED GAUSS-SEIDEL TYPE ITERATIVE METHOD FOR SOLVING LINEAR SYSTEMS[J]. Applied Mathematics and Mechanics, 2006 , 27(9) : 1275 -1279 . DOI: 10.1007/s10483-006-0915-1

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