| PSOR方法的比较性定理 |
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| 引用本文： | 石怡,王福. PSOR方法的比较性定理[J]. 兵团教育学院学报, 2010, 20(3): 74-77 |
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| 作者姓名： | 石怡 王福 |
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| 作者单位： | 石河子大学师范学院/兵团教育学院,新疆,石河子,832003 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 给出了一种PSOR方法，在理论上证明了PSOR方法的渐近收敛速度快于基本的AOR迭代法．同时，给出了在条件0〈ω≤1下，PSOR方法中参数ω的最优值．最后用数值例子验证了所得的主要结论．
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| 关 键 词： | SOR迭代法 AOR迭代法 PSOR方法 预条件矩阵 M-矩阵 |
Some Comparison Theorems for the PSOR Iterative Method |
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| SHI Yi,WANG Fu. Some Comparison Theorems for the PSOR Iterative Method[J]. Journal of Bingtuan Education Institute, 2010, 20(3): 74-77 |
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| Authors: | SHI Yi WANG Fu |
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| Affiliation: | SHI Yi,WANG Fu(Teachers College,Shihezi Uninversity/Bingtuan Education Institute,Shihezi,Xinjiang 832003,China) |
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| Abstract: | In this paper,a PSOR method is offered,and we have proved theoretically that the convergence rate of this PSOR method is faster than that of basic AOR iterative method.Also,under the condition of 0<ω≤1,we give the optimal parameter of ω.Finally,the main results obtained are illustrated by a numerical example. |
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| Keywords: | SOR iterative method AOR iterative method PSOR method preconditioner M-matrix |
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