| Chebyshev加速的定常化方法 |
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| 引用本文： | 雷秀仁,彭宏,郑咸义.Chebyshev加速的定常化方法[J].中山大学学报论丛,1996(5). |
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| 作者姓名： | 雷秀仁 彭宏 郑咸义 |
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| 作者单位： | 华南理工大学应用数学系 |
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| 摘 要： | 讨论求解线性方程组的一种定常迭代法，该方法由Ｃｈｅｂｙｓｈｅｖ加速定常化得到，给出了方法收敛的充要条件和收敛速度，并讨论了有关参数的选取问题
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| 关 键 词： | 线性代数方程组，迭代法，收敛性，收敛速度，矩阵特征值 |
The Stationary Chebyshev Acceleration Methods |
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| Lei Xiuren\ Peng Hong\ Zheng Xianyi.The Stationary Chebyshev Acceleration Methods[J].Supplement to the Journal of Sun Yatsen University,1996(5). |
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| Authors: | Lei Xiuren\ Peng Hong\ Zheng Xianyi |
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| Abstract: | A particular stationary iterative method which comes from Chebyshev acceleration method applied to the numerical solution of algebraic linear systems is studied. Some convergence conditions and the convergence rate of the method are built and how to select the related parameters is discussed. |
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| Keywords: | algebraic linear systems iterative methods convergence convergence rate matrix eigenvalues |
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