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| IMGS方法对于,H -矩阵的若干令人满意的改进 | |
| 引用本文： | 孙丽英. IMGS方法对于,H -矩阵的若干令人满意的改进[J]. 数学物理学报(A辑), 2006, 26(4): 591-594 |
| 作者姓名： | 孙丽英 |
| 作者单位： | 广东教育学院数学系 广州 |
| 基金项目： | 广东省自然科学基金(04300023)，广东省高校自然科学基金(Z03095)，广东教育学院中青年学术骨干培养项目资助 |
| 摘 要： | 该文给出线性方程组改进的Gauss-Seidel迭代法（被称之为IMGS方法）对于H -矩阵的收敛性定理,并且对其参数ai与SOR迭代法的参数ω的取值范围进行了比较. 所用方法及所得结论优于近年来相关结论,并且表明这种IMGS方法对,H -矩阵是有效的. |
| 关 键 词： | 预处理 H -矩阵 Gauss-Seidel方法 M -矩阵 收敛 |
| 文章编号： | 1003-3998(2006)04-591-04 |
| 收稿时间： | 2004-12-25 |
| 修稿时间： | 2005-12-02 |
The Satisfactory Improvements of the Modified Gauss-Seidel Method for H -matrices |
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| Sun Liying. The Satisfactory Improvements of the Modified Gauss-Seidel Method for H -matrices[J]. Acta Mathematica Scientia, 2006, 26(4): 591-594 | |
| Authors: | Sun Liying |
| Affiliation: | Department of Mathematics, Guangdong Education Institute, Guangzhou 510303 |
| Abstract: | In this paper, the author presents the convergent theorems of the improving modified Gauss-Seidel method, referred to as the IMGS method, for H-matrices as well as compare the range of parameters aiwith the parameter w of the SOR iterative method. The methods and results appeared in this paper are superior to those in recent results. The corresponding results in this paper also show that the IMGS method is effective to H-matrices. |
| Keywords: | Preconditioned H-matrix Gauss-Seidel method M-matrix Convergence |
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