| 加速松弛迭代法的最优加速因子 |
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| 引用本文： | 蒋美群.加速松弛迭代法的最优加速因子[J].苏州大学学报(医学版),1991(3). |
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| 作者姓名： | 蒋美群 |
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| 作者单位： | 苏州大学数学系 |
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| 摘 要： | 本文就一类特殊矩阵所对应的线性方程组,采用加速松弛法迭代求解时,用先求出最优的松弛因子,再得到加速因子的最优,给出了G.Avdelas＆A.Hadjidimos所得最优因子的一个简单明了的几何证明。
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| 关 键 词： | 加速松弛迭法(AOR) 最优松弛因子 最优加速因子 |
OPTIMUM ACCELERATE FACTOR OF AOR METHOD |
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| Jiang Meiqun.OPTIMUM ACCELERATE FACTOR OF AOR METHOD[J].Journal of Suzhou University(Natural Science),1991(3). |
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| Authors: | Jiang Meiqun |
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| Institution: | Department Mathematics |
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| Abstract: | Application of the accelerate overrelaxation (AOR) iterative methbd to linear systems Ax=b with matrix possessing consistantly order and nonvanishing diagonal elements. We first determinated of the optimal factor for the overrelaxation, next determinated Of the optimal factor for the accelerate. The results of G. Avdelas & A. Hadjidmos were demonstrated with geometric method which is simplive and cleare than their original proof. |
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| Keywords: | Accelerate Overrelaxation (AOR) Optimal ovevrelation factot Optimal accelerate factor |
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