| 求解大型对称特征值问题的块Chebyshev-Lanczos方法 |
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| 引用本文： | 周树荃,戴华.求解大型对称特征值问题的块Chebyshev-Lanczos方法[J].南京航空航天大学学报,1989(4). |
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| 作者姓名： | 周树荃 戴华 |
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| 作者单位： | 南京航空学院数理力学系
(周树荃)，南京航空学院数理力学系(戴华) |
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| 摘 要： | 本文提出了计算大型对称矩阵若干个最大或最小特征对的块Chebyshev迭代法,讨论了块Chebyshev迭代法对块Lanczos方法的应用,给出了块Chebyshev-Lanczos方法。计算实践表明块Chebyshev-Laaczos方法比块Lanczos方法和Chebyshev-Lanczos方法都优越。
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| 关 键 词： | 对称矩阵 特征值 特征向量 块Chebyshev迭代法 块Lanczos方法 |
The Block Chebyshev-Lanczos Method for Solving Large Symmetric Eigenvalue Problems |
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| Zhou Shuquan Dai Hua.The Block Chebyshev-Lanczos Method for Solving Large Symmetric Eigenvalue Problems[J].Journal of Nanjing University of Aeronautics & Astronautics,1989(4). |
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| Authors: | Zhou Shuquan Dai Hua |
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| Abstract: | ID this paper, a block Chebyshev iteration is presented for finding a few of the largest or smallest eigenvalues of large symmetric matrices, and discussing its application to the block Lanczos method. We give a block Chebyshev-Lanczos method. The practices of computation show the block Chebyshev-Lanczos method is superior to the block Lanczos method and Chebyshev-Lanczos method. |
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| Keywords: | symmetric matrix eigenvalue eigenvector block Chebyshev iteration block Lanczos method |
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