| 一类新预条件下AOR迭代法比较性定理 |
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| 引用本文： | 黄湧辉.一类新预条件下AOR迭代法比较性定理[J].汕头大学学报(自然科学版),2011,26(2):29-35. |
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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： | 讨论了新预条件下AOR迭代法的收敛性.若系数矩阵为非奇异M-矩阵,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.最后用数值例子说明了结论.
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| 关 键 词： | 谱半径 预条件迭代法 非奇异M-矩阵 收敛速度 弱正则分裂 |
A New Comparison Theorem for the Preconditioned AOR Iterative Method |
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| HUANG Yong-hui.A New Comparison Theorem for the Preconditioned AOR Iterative Method[J].Journal of Shantou University(Natural Science Edition),2011,26(2):29-35. |
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| Authors: | HUANG Yong-hui |
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| Institution: | HUANG Yong-hui (South China Normal University,Guangzhou 510631,Guangdong,China) |
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| Abstract: | In this paper,the convergence analysis for a new preconditioned AOR iterative method is discussed. If the coefficient matrix is a nonsingular M-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 preconditioned AOR iterative method is monotone decreasing. At last,some numerical examples are given to explain our theoretical results. |
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| Keywords: | spectral radius preconditioned iterative method nonsingular M-matrix convergence rate weak regular splitting |
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