| 次对称三对角矩阵特征值反问题 |
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| 引用本文： | 林惠,王金林.次对称三对角矩阵特征值反问题[J].南昌航空工业学院学报,2010,24(1):69-73. |
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| 作者姓名： | 林惠 王金林 |
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| 作者单位： | 南昌航空大学; |
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| 摘 要： | 文章讨论了由两个特征对构造次对称三对角矩阵的特征值反问题。结合次对称矩阵中属于不同特征值的特征向量的次正交性,研究了解的存在性以及存在解的充要条件,并给出了相应的算法及数值例子。
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| 关 键 词： | 次对称三对角矩阵 特征值反问题 次正交 |
Inverse Eigenvalue Problem for Persymmetric Tridiagonal Matrix |
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| LIN Hui,WANG Jin-lin.Inverse Eigenvalue Problem for Persymmetric Tridiagonal Matrix[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2010,24(1):69-73. |
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| Authors: | LIN Hui WANG Jin-lin |
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| Institution: | Nanchang Hangkong University/a>;Nanchang/a>;Jiangxi 330063/a>;China |
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| Abstract: | In this paper,a kind of inverse eigenvalue problem which is the reconstuction of persymmetric tridiagonal matrix by two eigenvalues and corresponding eigenvectors is proposed.Integrated with the sub-orthogonal of the eigenvectors which belonged to the different eigenvalues,the solvability of the problem is discussed and some sufficient and necessary conditions of solution are given.Furthermore,numerical algorithm and the example are given. |
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| Keywords: | persymmetric tridiagonal matrix inverse problem sub-orthogonal |
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