| 关于解线性系统的新迭代方法的注释 |
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| 引用本文： | 王珂,谭丽君,王世恒. 关于解线性系统的新迭代方法的注释[J]. 上海师范大学学报(自然科学版), 2017, 46(3): 406-409 |
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| 作者姓名： | 王珂 谭丽君 王世恒 |
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| 作者单位： | 上海大学 理学院, 上海 200444,上海大学 理学院, 上海 200444,南阳农业职业学院 基础部, 南阳 473000 |
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| 基金项目： | This research was supported by National Natural Science Foundation of China (11301330);grants of "The First-class Discipline of Universities in Shanghai" and Gaoyuan Discipline of Shanghai |
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| 摘 要： | 在文[3]中作者们提出了几种求解线性系统的新迭代方法,与经典的Jacobi或Gauss-Seidel方法相比,这些方法可以被应用到更多的线性系统且有更快的收敛速度.通过分析和数值算例说明他们的方法适合更一般的矩阵,而不仅仅是文[3]作者提到的只适合正矩阵.
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| 关 键 词： | 迭代法 线性系统 经典迭代 |
| 收稿时间： | 2016-10-19 |
Comments on new iterative methods for solving linear systems |
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| Wang Ke,Tan Lijun and Wang Shiheng. Comments on new iterative methods for solving linear systems[J]. Journal of Shanghai Normal University(Natural Sciences), 2017, 46(3): 406-409 |
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| Authors: | Wang Ke Tan Lijun Wang Shiheng |
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| Affiliation: | College of Sciences, Shanghai University, Shanghai 200444, China,College of Sciences, Shanghai University, Shanghai 200444, China and Department of Basic Education, Nanyang Vocational College of Agriculture, Nanyang 473000, China |
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| Abstract: | Some new iterative methods were presented by Du, Zheng and Wang for solving linear systems in [3], where it is shown that the new methods, comparing to the classical Jacobi or Gauss-Seidel method, can be applied to more systems and have faster convergence. This note shows that their methods are suitable for more matrices than positive matrices which the authors suggested through further analysis and numerical examples. |
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| Keywords: | iterative method linear system classical iteration |
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