| 一类预条件AOR方法的比较性定理 |
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| 引用本文： | 王福,袁东锦,董霞,赵海燕,刘春辉.一类预条件AOR方法的比较性定理[J].重庆工学院学报,2008,22(3):128-132. |
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| 作者姓名： | 王福 袁东锦 董霞 赵海燕 刘春辉 |
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| 作者单位： | 扬州大学数学科学学院 江苏扬州225002 |
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| 摘 要： | 给出了一种预条件AOR方法,并且在理论上证明了此方法的渐近收敛速度要快于基本的AOR迭代法,也给出了在条件0<γ≤ω≤1下,预条件AOR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： | AOR迭代法 预条件AOR方法 预条件算子 M-矩阵 |
Some Comparison Theorems for Preconditioned AOR Iterative Method |
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| WANG Fu,YUANG Dong-jin,Dong Xia,ZHAO Hai-yan,LIU Chun-hui.Some Comparison Theorems for Preconditioned AOR Iterative Method[J].Journal of Chongqing Institute of Technology,2008,22(3):128-132. |
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| Authors: | WANG Fu YUANG Dong-jin Dong Xia ZHAO Hai-yan LIU Chun-hui |
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| Abstract: | The preconditioned AOR method is introduced,it is theoretically proved that the convergence rate of preconditioned AOR method is faster than that of basic AOR iterative method,and the optimal parameter of under the condition of is given.Finally,the main results obtained are demonstrated by a numerical example. |
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| Keywords: | AOR iterative merhod preconditioned AOR method precondition operator M-matrix |
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