| 定常化Chebyshev加速迭代法的收敛性质 |
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| 引用本文： | 刘红伟,王江涛. 定常化Chebyshev加速迭代法的收敛性质[J]. 东莞理工学院学报, 2010, 17(1): 18-21 |
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| 作者姓名： | 刘红伟 王江涛 |
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| 作者单位： | 华南理工大学理学院,广州,510641;华南理工大学理学院,广州,510641;东莞理工学院计算机学院,广东,东莞,523808 |
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| 基金项目： | 国家自然科学基金(10771022) |
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| 摘 要： | 讨论求解线性方程组的定常化Chebyshev加速迭代法,给出了该方法的若干收敛性条件,通过数值算例比较了Chebyshev加速定常迭代法与非定常迭代法的收敛速度,计算结果表明二者是相当的。
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| 关 键 词： | 线性代数方程组:定常迭代法 多项式加速 矩阵特征值 |
Convergence of the Stationary Chebyshev Acceleration Methods |
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| LIU Hong-wei,WANG Jiang-tao. Convergence of the Stationary Chebyshev Acceleration Methods[J]. Journal of Dongguan Institute of Technology, 2010, 17(1): 18-21 |
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| Authors: | LIU Hong-wei WANG Jiang-tao |
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| Affiliation: | 1;2;1.College of Science South;China University of Technology;Guangzhou 510641;China;2.Computer College;Dongguan University of Technology;Dongguan 523808;China |
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| Abstract: | The paper discusses the stationary Chebyshev acceleration method which is applied to the numerical solution of algebraic linear systems,and shows some conditions of convergence.Comparing the convergent rate the stationary iterative method with the unstationary iterative method by several examples,we find the same convergent rate between the two methods. |
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| Keywords: | algebraic linear systems stationary iterative methods polynomial acceleration matrix eigenvalues |
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