| L-矩阵的一类新预条件迭代方法 |
| |
| 引用本文： | 薛秋芳. L-矩阵的一类新预条件迭代方法[J]. 华中师范大学学报(自然科学版), 2005, 39(3): 304-307,310 |
| |
| 作者姓名： | 薛秋芳 |
| |
| 作者单位： | 西安理工大学,理学院应用数学系,西安,710048 |
| |
| 基金项目： | 国家自然科学基金资助项目（10071048）. |
| |
| 摘 要： | 在Evans等人提出的预条件AOR迭代法的基础上考虑一种新的预条件方法，并将其应用于AOR和2PPJ（即双参数并行Jacobi迭代法）迭代格式中，该方法不但适用范围较原方法更为广泛，即对一般的L-矩阵均适用，而且也可提高迭代的收敛速度，甚至使一些发散的迭代格式收敛。
|
| 关 键 词： | L-矩阵 预条件 AOR迭代法 2PPJ迭代法 谱半径 |
| 文章编号： | 1000-1190（2005）03-0304-04 |
| 收稿时间： | 2005-02-28 |
| 修稿时间： | 2005-02-28 |
A new type of preconditioned iterative method for L-matrices |
| |
| XUE Qiu-fang. A new type of preconditioned iterative method for L-matrices[J]. Journal of Central China Normal University(Natural Sciences), 2005, 39(3): 304-307,310 |
| |
| Authors: | XUE Qiu-fang |
| |
| Affiliation: | Department of Applied Mathematics, School of Sciences, Xi'an University of Technology, Xi'an 710048 |
| |
| Abstract: | A new preconditioned iterative method is given after studying that of Evans. It is applied into AOR method and 2PPJ method and the result that the suitable range of the new method is larger than that of the old one is obtained, that is to say, our method is suitable for the most of L-matrices. And also the speed of the convergence is improved, even that some divergent iterative matrices become the convergent iterative matrices after applying the new preconditioned method into them. |
| |
| Keywords: | L-matrix preconditioned AOR iterative method 2PPJ iterative method spectral radius |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《华中师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《华中师范大学学报(自然科学版)》下载全文 |
