| H-矩阵的一个新的预条件Gauss-Seidel迭代方法 |
| |
| 引用本文： | 许云霞,雷学红,李耀堂.H-矩阵的一个新的预条件Gauss-Seidel迭代方法[J].昆明师范高等专科学校学报,2008,30(4):3-7. |
| |
| 作者姓名： | 许云霞 雷学红 李耀堂 |
| |
| 作者单位： | 云南大学数学与统计学院，昆明理工大学理学院 |
| |
| 摘 要： | 给出了解线性方程组Ax=b的一个新的预条件因子P．应用Gauss—Seidel迭代格式于预条件线性方程组PAx=Pb，并证明了当矩阵A为H-矩阵时，此预条件Gauss—Seidel方法是收敛的．最后，数值算例说明文中所给预条件Gauss—Seidel方法是有效的．
|
| 关 键 词： | 线性方程组 Gauss—Seidel迭代方法 H-矩阵 预条件因子 收敛性 |
A New Preconditioned Gauss-Seidel Iterative Method for H-matrices |
| |
| XU Yun-xia,LEI Xue-hong,LI Yao-tang.A New Preconditioned Gauss-Seidel Iterative Method for H-matrices[J].Journal of Kunming Teachers College,2008,30(4):3-7. |
| |
| Authors: | XU Yun-xia LEI Xue-hong LI Yao-tang |
| |
| Institution: | XU Yun-xia , LEI Xue-hong, LI Yao-tang ( 1. School of Mathematics and Statistics, Yunnan University, Yunnan Kunming 650091 ,China; 2. Faculty of Science, Kunming University of Science and Technology, Yunnan Kunming 650093, China) |
| |
| Abstract: | A new preconditioner P for solving linear system Ax=b is presented.We apply Gauss-Seidel iterative schemes to the preconditioned linear system PAx=Pb and prove that the preconditioned Gauss-Seidel method with the new preconditioner is convergence when A is an H-matrix.Finally,effectiveness of the new preconditioner Gauss-Seidel method is shown by a numerical example. |
| |
| Keywords: | linear systems Gauss-Seidel iterative method H-matrix preconditioner convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
