| Chebyshev加速方法的收敛性分析 |
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| 引用本文： | 雷秀仁,郑咸义,彭宏.Chebyshev加速方法的收敛性分析[J].中山大学学报论丛,1996(5). |
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| 作者姓名： | 雷秀仁 郑咸义 彭宏 |
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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： | 讨论用于线性代数方程组的迭代解法的Ｃｈｅｂｙｓｈｅｖ加速方法的收敛性．分别就基本迭代矩阵具有实特征值和复特征值两种情形进行分析，得到一种较深刻的结论，并提出了一种新的收敛速度概念
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| 关 键 词： | 线性代数方程组，迭代法，Chebyshev加速方法，收敛性，矩阵特征值 |
On Convergence of Chebyshev Acceleration Methods |
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| Lei Xiuren\ Zheng Xianyi\ Peng Hong.On Convergence of Chebyshev Acceleration Methods[J].Supplement to the Journal of Sun Yatsen University,1996(5). |
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| Authors: | Lei Xiuren\ Zheng Xianyi\ Peng Hong |
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| Abstract: | In this paper, convergence of Chebyshev acceleration methods applied to iterative resolutions of algebraic linear systems is studied, with cases in which eigenvalues of basic iterative matrices are real and complex, respectively. Our conclusions are stronger than those in the thesis , and a new concept of convergence rate is given. |
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| Keywords: | algebraic linear systems iterative methods Chebyshev acceleration methods convergence eigenvalues of matrices |
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