| L-矩阵的新预条件AOR迭代法收敛性分析 |
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| 引用本文： | 黄湧辉.L-矩阵的新预条件AOR迭代法收敛性分析[J].绵阳师范学院学报,2011,30(5). |
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| 作者姓名： | 黄湧辉 |
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| 作者单位： | 华南师范大学数学科学学院,广东广州,510631 |
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| 摘 要： | 该文讨论了L-矩阵在新预条件下其AOR迭代法的收敛性.在严格对角占优的L-矩阵条件下,该预条件加快了AOR迭代法的收敛速度,而且该预条件下AOR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.
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| 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 |
Convergence Analysis of Iterative Method for L-matrix under Preconditioned AOR |
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| HUANG Yong-hui.Convergence Analysis of Iterative Method for L-matrix under Preconditioned AOR[J].Journal of Mianyang Normal University,2011,30(5). |
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| Authors: | HUANG Yong-hui |
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| Institution: | HUANG Yong-hui(School of Mathematics Science,South China Normal University,Guangzhou 510631) |
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| Abstract: | This paper is to discuss the convergence analysis of a new preconditioned AOR iterative method for L-matrix.If the coefficient matrix is a strictly dominant L-matrix,the convergence rate of the preconditioned AOR iterative method is faster than one of the AOR methods.In addition,the spectral radius of the reconditioned AOR iterative method is monotonically decreasing.In the end,some numerical examples to verify the correctness of our theoretical results are given. |
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| Keywords: | spectral radius preconditioned iterative method strictly dominant L-matrix convergence rate weak regular splitting |
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