| 一类预条件后AOR迭代法谱半径的最小值 |
| |
| 引用本文： | 雷刚. 一类预条件后AOR迭代法谱半径的最小值[J]. 江西师范大学学报(自然科学版), 2007, 31(6): 599-602 |
| |
| 作者姓名： | 雷刚 |
| |
| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721013 |
| |
| 基金项目： | 国家自然科学基金资助项目(10071048) |
| |
| 摘 要： | 运用矩阵分裂理论及比较定理,获得了当线性方程组系数矩阵A对角占优L-矩阵时,预条件Gauss-Seidel迭代法是常见的几类迭代法中收敛速度最快的方法.最后给出一个数值例子.
|
| 关 键 词： | 预条件 收敛性 谱半径 AOR迭代法 |
| 文章编号： | 1000-5862（2007）06-0599-04 |
| 收稿时间： | 2007-06-15 |
| 修稿时间： | 2007-06-15 |
The Minimum of Spectral Radius Linear System in Preconditioned |
| |
| LEI Gang. The Minimum of Spectral Radius Linear System in Preconditioned[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2007, 31(6): 599-602 |
| |
| Authors: | LEI Gang |
| |
| Abstract: | By using matrix spliting analysis and comparison theorems,the spectral radius of the Gauss-Seidel iterative method being the minimum is proved under the condition that the linear systems matrix A is a diagonally dominant L-matrix.That is the Gauss-Seidel iterative method being the fastest iterative method in the AOR method.Last the numerical example is given. |
| |
| Keywords: | precondition convergence spectral radius AOR method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
