| 求解大型对称特征值问题的迭代Chebyshev-Lanczos方法 |
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| 引用本文： | 戴华,周树荃. 求解大型对称特征值问题的迭代Chebyshev-Lanczos方法[J]. 南京航空航天大学学报, 1986, 0(4) |
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| 作者姓名： | 戴华 周树荃 |
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| 摘 要： | 本文研究计算大型对称矩阵极端(几个最大或最小)特征值及相应特征向量的问题,讨论了Chebyshev迭代法对Lanczos方法的应用,提出了Chebyshev-Lanczos方法。计算实践表明迭代Chebyshev-Lanczos方法比迭代Lanczos方法优越。
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| 关 键 词： | 计算数学 对称矩阵:特征值 迭代法 |
An Iterative Chebyshev-Lanczos Method for Solving Large Symmetric Eigenvalue Problems |
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| Dai Hun Zhou Shuquan. An Iterative Chebyshev-Lanczos Method for Solving Large Symmetric Eigenvalue Problems[J]. Journal of Nanjing University of Aeronautics & Astronautics, 1986, 0(4) |
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| Authors: | Dai Hun Zhou Shuquan |
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| Affiliation: | Dai Hun Zhou Shuquan |
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| Abstract: | The present paper deals with the problem of computing a few of the greatest or least eigenvalues and corresponding eigenvectors of large symmetric matrices We discuss application of Chebyshev iteration to Lanczos method,and present an iterative Chebyshev-Lanczos method.The practices of computations indicate that the iterative Chebyshev-Lanczos method is superior to the iterative Lanczos method. |
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| Keywords: | computational mathematics symmetric matrix characteristic value iteration method |
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