| Jacobi矩阵的一类特征值反问题 |
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| 引用本文： | 蔡茜. Jacobi矩阵的一类特征值反问题[J]. 合肥学院学报(自然科学版), 2008, 18(4): 6-9 |
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| 作者姓名： | 蔡茜 |
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| 作者单位： | 南京审计学院数学与统计学院,南京210029 |
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| 摘 要： | 在综合分析矩阵中某些反问题的基础上，讨论了由给定的三个特征对来构造相应的Jacobi矩阵反问题．利用线性方程组有解的条件，得到了问题有一般解的充要条件及求解的方法，并给出了数值例子．
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| 关 键 词： | Jacobi矩阵 特征值 反问题 |
Inverse Eigenvalue Problem of Jacobi Matrices |
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| CAI Qian. Inverse Eigenvalue Problem of Jacobi Matrices[J]. Journal of Hefei University(Natural Sciences Edition), 2008, 18(4): 6-9 |
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| Authors: | CAI Qian |
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| Affiliation: | CAI Qian ( School of Mathematics and Statistics, Nanjing Audit University, Nanjing 210029, China) |
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| Abstract: | On the basis of analyzing some inverse problems in the matrix theory, a kind of inverse eigenvalue problem which is the reconstruction of Jacobi matrix by three eigenvalues and eigenvectors is proposed. By using the conditions for the solvability of the linear equation systems, a sufficient and necessary condition for the solvability of the inverse eigenvalue problem and its solving method are obtained. Furthermore one numerical experiment is given. |
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| Keywords: | Jacobi matrix eigenvalue inverse problem |
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