## 留言板

 引用本文: 程光辉, 黄廷祝, 成孝予. 解线性方程组的预条件Gauss-Seidel型迭代法[J]. 应用数学和力学, 2006, 27(9): 1117-1121.
CHENG Guang-hui, HUANG Ting-zhu, CHENG Xiao-yu. Preconditioned Gauss-Seidel Type Iterative Methods for Solving Linear Systems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1117-1121.
 Citation: CHENG Guang-hui, HUANG Ting-zhu, CHENG Xiao-yu. Preconditioned Gauss-Seidel Type Iterative Methods for Solving Linear Systems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1117-1121.

## 解线性方程组的预条件Gauss-Seidel型迭代法

###### 作者简介:程光辉(1979- ),男,长春人,博士(E-mail:cgh612@126.com);黄廷祝(联系人.Tel:+86-28-83202637;E-mail:tzhuang@uestc.edu.cn).
• 中图分类号: O241.6

## Preconditioned Gauss-Seidel Type Iterative Methods for Solving Linear Systems

• 摘要: 给出了解线性方程组的预条件Gauss-Seidel型方法,提出了选取合适的预条件因子．并讨论了对Z-矩阵应用这种方法的收敛性,给出了收敛最快时的系数取值．最后给出数值例子，说明选取合适的预条件因子应用Gauss-Seidel方法求解线性方程组是有效的．
•  [1] LI Wen.Preconditioned AOR iterative methods for linear systems[J].Internat J Computer Math,2002,79(1):89—101. [2] Young D M.Iterative Solution of Large Linear Systems[M].New York: Academic Press,1971. [3] Varga R S.Matrix Iterative Analysis[M].Englewood Cliffs, NJ: Prentice-Hall,1981. [4] Berman A,Plemmons R J.Nonnegative Matrices in the Mathematical Sciences[M],London:Academic Press, 1979. [5] Hans Schneider. Which depend on graph structure[J].Linear Algebra Appl,1984,58:407—424. [6] Evans D J,Martins M M,Trigo M E.The AOR iterative method for new preconditioned linear systems[J].J Comput Appl Math,2001,132:461—466.

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##### 出版历程
• 收稿日期:  2005-12-07
• 修回日期:  2006-03-27
• 刊出日期:  2006-09-15

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