| 五对角矩阵的一类特征值反问题 |
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| 引用本文： | 李雅芬,钱爱林.五对角矩阵的一类特征值反问题[J].咸宁学院学报,2006,26(3):40-44. |
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| 作者姓名： | 李雅芬 钱爱林 |
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| 作者单位： | 咸宁学院,数学系,湖北,咸宁,437005 |
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| 摘 要： | 讨论了一类由四个特征值和相应特征向量构造实对称五对角矩阵的特征值反问题.研究了解的存在性以及存在解的充分必要条件,而且给出了算法和数值例子.
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| 关 键 词： | 实对称五对角矩阵 Jacobi矩阵 反问题 |
| 文章编号： | 1006-5342（2006）03-0040-05 |
| 收稿时间： | 03 24 2006 12:00AM |
| 修稿时间： | 2006-03-24 |
An Kind of Inverse Eigenvalue Problem for Five- Diagonal Matrix |
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| LI Ya-fen,QIAN Ai-lin.An Kind of Inverse Eigenvalue Problem for Five- Diagonal Matrix[J].Journal of Xianning College,2006,26(3):40-44. |
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| Authors: | LI Ya-fen QIAN Ai-lin |
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| Institution: | Department of Math, Xianning College, Xianning 437005, China |
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| Abstract: | In this paper,a kind of inverse eigenvalue problem which is the reconstruction of real symmetric five-diagonal matrix by four eigenvalues and corresponding eigenvectors is proposed.The solvability of the problem is discussed and some sufficient and necessary Conditwns for existence of solution are given.Furthrmore numerical algorithm and some numerilal experimenes are given. |
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| Keywords: | Real symmetric five-diagonal matrix Jacobi matrix Inverse problems |
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