| 周期对称三对角矩阵的特征值反问题 |
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| 引用本文： | 戴华.周期对称三对角矩阵的特征值反问题[J].南京航空航天大学学报,1993(2). |
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| 作者姓名： | 戴华 |
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| 作者单位： | 南京航空学院数理力学系 |
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| 摘 要： | 本文提出由两个特征值和相应的特征向量构造周期对称三对角矩阵的一类特征值反问题,讨论了这类问题的可解性,给出了这类问题有解的充分必要条件,描述了求解这类问题的数值算法,并且给出了数值例子。
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| 关 键 词： | 数值代数 特征值 特征向量 周期三对角矩阵 反问题 |
Inverse Eigenvalue Problem of Periodic Symmetric Tridiagonal Matrices |
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| Dai Hua.Inverse Eigenvalue Problem of Periodic Symmetric Tridiagonal Matrices[J].Journal of Nanjing University of Aeronautics & Astronautics,1993(2). |
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| Authors: | Dai Hua |
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| Institution: | Department of Mathematics .Physics and Mechanics |
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| Abstract: | In this paper,a class of inverse eigenvalue problem are raised to construct a periodic symmetric tridiagonal matrix from, two eigenvalues and corresponding eigenvectors. The solubility of the problem is discussed. Some sufficient and necessary conditions for the problem to have a solution are given. The numerical algorithm for solving the problem is described. Some numerical examples are presented. |
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| Keywords: | numerical algebra characteristic values characteristic vectors periodic tridiag-onal matrix inverse problem |
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