| 第二类对称三对角阵的特征值反问题的降阶法 |
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| 引用本文： | 何春阳,熊西文.第二类对称三对角阵的特征值反问题的降阶法[J].大连理工大学学报,1986(Z1). |
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| 作者姓名： | 何春阳 熊西文 |
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| 作者单位： | 大连工学院应用数学系
(何春阳)，大连工学院应用数学系(熊西文) |
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| 摘 要： | 本文构造了一个求解第Ⅰ类对称三对角矩阵特征值反问题的算法，把第Ⅱ类特征值 反问题归结为第Ⅰ类特征值反问题，其阶数降低一半，进行了算法的稳定性分析。
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| 关 键 词： | Jacobi 矩阵 特征值 反问题 算法/降阶法 |
The Depression Method of the Second Kind Inverse Eigenvalue Problem of Symmetric Tridiagonal Matrices |
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| He Chunyang,Xiong Xiwen.The Depression Method of the Second Kind Inverse Eigenvalue Problem of Symmetric Tridiagonal Matrices[J].Journal of Dalian University of Technology,1986(Z1). |
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| Authors: | He Chunyang Xiong Xiwen |
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| Abstract: | In this article, a new algorithm for solving the first kind inverse eigenvalue problem of the symmetric Jacobi matrix is presented. The authors also give a new method which can reduce the second kind inverse eigenvalue problem of symmetric Jacobi matrix to the first kind, with the order of the Jacobi matrix being a half. The stability of the algorithm is analyzed here. |
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| Keywords: | Jacobi matrix characteristic value inverse eigenvalue pro- blem algorithm/depression method |
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