| 解线性方程组的预条件Gauss-Seidel型迭代法 |
| |
| 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. |
| |
| 作者姓名： | 程光辉 黄廷祝 成孝予 |
| |
| 作者单位： | 电子科技大学 应用数学学院,成都 610054 |
| |
| 基金项目： | 教育部"新世纪人才支持计划"基金;四川省应用基础研究计划;北京市应用物理与计算数学研究所合作项目基金 |
| |
| 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．
|
| 关 键 词： | Gauss-Seidel方法 预条件迭代法 Z-矩阵 |
| 文章编号： | 1000-0887（2006）09-1117-05 |
| 收稿时间： | 2005-12-07 |
| 修稿时间： | 2006-03-27 |
Preconditioned Gauss-Seidel Type Iterative Methods for Solving Linear Systems |
| |
| 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. |
| |
| Authors: | CHENG Guang-hui HUANG Ting-zhu CHENG Xiao-yu |
| |
| Institution: | School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China |
| |
| Abstract: | The preconditioned Gauss-Seidel type iterative method for solving linear systems, with the proper choice of the preconditioner, was presented. Convergence of the preconditioned method applied to Z-matrices was discussed. Also the optimal parmeter was presented. Numerical results show that the proper choice of the preconditioner can lead to effective the preconditioned Gauss-Seidel type iterative methods for solving linear systems. |
| |
| Keywords: | Gauss-Seidel method preconditioned iterative method Z-matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
