PRECONDITIONED GAUSS-SEIDEL TYPE ITERATIVE METHOD FOR SOLVING LINEAR SYSTEMS  

作　　者：程光辉 黄廷祝 成孝予 

机构地区：[1]School of Applied Mathematics University of Electronic Science and Technology of China, Chengdu, 610054, P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第9期1275-1279,共5页应用数学和力学（英文版）

基　　金：Project supported by MOE's 2004 New Century Excellent Talent Program (NCET)the Applied Basic Research Foundations of Sichuan Province (No.05JY029-068-2)

摘　　要：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.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.

关 键 词：Gauss-Seidel method preconditioned iterative method Z-MATRIX 

分 类 号：O241.6[理学—计算数学]