| Jacobi矩阵的特征值问题与逆问题 |
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| 引用本文： | 邓义华.Jacobi矩阵的特征值问题与逆问题[J].广西大学学报(自然科学版),2006,31(1):44-48. |
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| 作者姓名： | 邓义华 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 基金项目： | 衡阳师范学院科学基金青年项目(2005A12) |
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| 摘 要： | 首先对Jacob i矩阵的特征值进行了分析,然后讨论了由一个特征对构造Jacob i矩阵的问题,得出了该问题在某一类集合中有解的充分必要条件,并给出了解的具体表达式.
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| 关 键 词： | Jacobi矩阵 特征值 特征向量 特征值反问题 |
| 文章编号： | 1001-7445(2006)01-0044-05 |
| 收稿时间： | 2005-08-21 |
| 修稿时间： | 2005-12-17 |
Eigenvalue and inverse eigenvalue problem for Jacobi matrices |
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| DENG Yi-hua.Eigenvalue and inverse eigenvalue problem for Jacobi matrices[J].Journal of Guangxi University(Natural Science Edition),2006,31(1):44-48. |
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| Authors: | DENG Yi-hua |
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| Institution: | Department of Mathematics, Hengyang Normal University ~ Hengyang 421008,China |
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| Abstract: | The eigenanalysis of Jacobi matrix was given firstly and then the problem on the construction of Jacobi matrix from one eigenpairs was discussed.The necessary and sufficient conditions for the existence of the Jacobi matrix in some sets were gained and the formula of the solution was derived. |
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| Keywords: | Jacobi matrix eigenvalue characteristic vector problem of inverse eigenvalue |
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