| 解特征值反问题的李群算法 |
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| 引用本文： | 田益民,张永明,王丹.解特征值反问题的李群算法[J].北京印刷学院学报,2006,14(6):22-23. |
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| 作者姓名： | 田益民 张永明 王丹 |
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| 作者单位： | 北京印刷学院,基础部,北京,102600;北京印刷学院,基础部,北京,102600;北京印刷学院,基础部,北京,102600 |
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| 摘 要： | 李群算法是一种流形上的算法,是保结构算法的一类.李群算法可以使微分方程的数值解保持在同一流形上,从而取得比较好的数值结果.研究了解特征值反问题的等谱流方法及其李群算法,我们取的李群是正交群.
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| 关 键 词： | 流形 正交群 等谱流 特征值反问题 |
| 文章编号： | 1004-8626(2006)06-0022-02 |
| 收稿时间： | 03 20 2006 12:00AM |
| 修稿时间： | 2006年3月20日 |
Lie Group Method for Solving Inverse Eigenvalues Problem |
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| TIAN Yi-min,ZHANG Yong-ming,WANG Dan.Lie Group Method for Solving Inverse Eigenvalues Problem[J].Journal of Beijing Institute of Graphic Communication,2006,14(6):22-23. |
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| Authors: | TIAN Yi-min ZHANG Yong-ming WANG Dan |
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| Affiliation: | Beijing Institute of Graphic Communication, Beijing 102600, China |
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| Abstract: | The lie group method is a kind of algorithm that keeps the numeric solution on the same manifold, so it is a particular type of structure, preserving the algorithm and the numeric solution being improved. The isospectral flows method for solving inverse the cigenvalues problem and its lie group method are studied in this paper, while the corresponding lie group is orthogonal group. |
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| Keywords: | manifold orthogonal group isospectral flows inverse Eigenvalues problem |
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