| 定常化Chebyshev迭代法迭代矩阵的特征值与其他特征值的关系 |
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| 引用本文： | 刘红伟,雷秀仁.定常化Chebyshev迭代法迭代矩阵的特征值与其他特征值的关系[J].科学技术与工程,2009,9(17). |
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| 作者姓名： | 刘红伟 雷秀仁 |
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| 作者单位： | 华南理工大学理学院,广州,510640 |
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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,通过给出三个引理和四个定理,证明了该方法的迭代矩阵特征值与其他矩阵特征值之间的关系.
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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 |
| 收稿时间： | 2009/5/21 0:00:00 |
| 修稿时间： | 2009/5/21 0:00:00 |
The Relationship between Eigenvalue of Stationary Chebyshev and Other Genvalues |
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| liu hong wei and lei xiu ren.The Relationship between Eigenvalue of Stationary Chebyshev and Other Genvalues[J].Science Technology and Engineering,2009,9(17). |
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| Authors: | liu hong wei and lei xiu ren |
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| Institution: | Co llege of Science;South China University of Technology;Guangzhou 510640;P.R.China |
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| Abstract: | The stationary Chebyshev acceleration method is discussed which is applied to the numerical solution of algebraic linear systems.Through three lemmas and four theorems,the relationship of iteration is proved between iterative matrix and other matrixes. |
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| Keywords: | algebraic linear systems stationary iterative methods polynomial acceleration matrix eigenvalues |
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