| 新预条件下Jacobi迭代法的比较性定理 |
| |
| 引用本文： | 黄湧辉.新预条件下Jacobi迭代法的比较性定理[J].韩山师范学院学报,2011,32(3):32-36. |
| |
| 作者姓名： | 黄湧辉 |
| |
| 作者单位： | 华南师范大学数学科学学院,广东广州,510631 |
| |
| 摘 要： | 讨论了新预条件下Jacobi迭代法的收敛性.证明在严格对角占优的L-矩阵条件下,该预条件加快了Jacobi迭代法的收敛速度,而且在该预条件下Jacobi迭代法的谱半径是单调下降的.最后用数值例子验证本文得出的结论的正确性.
|
| 关 键 词： | 谱半径 预条件迭代法 严格对角占优L矩阵 收敛速度 弱正则分裂 |
A New Comparison Theorem for the Preconditioned Jacobi Iterative Method |
| |
| HUANG Yong-hui.A New Comparison Theorem for the Preconditioned Jacobi Iterative Method[J].Journal of Hanshan Teachers College,2011,32(3):32-36. |
| |
| Authors: | HUANG Yong-hui |
| |
| Institution: | HUANG Yong-hui(School of Mathematics Sciences,South China Normal University,Guangzhou 510631,china) |
| |
| Abstract: | In this paper,the convergence analysis for a new preconditioned Jacobi iterative method was discussed.If the coefficient matrix is the strictly dominant L-matrix,the convergence rate of the preconditioned Jacobi iterative method is faster than one of the Jacobi methods.In addition,the spectral radius of this method is monotonically decreasing.Last,a numerical example is used to verify the correctness of our theoretical results. |
| |
| Keywords: | spectral radius preconditioned iterative method strictly dominant L-matrix convergence Rate weak regular splitting |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
