| 给定特征向量部分分量的矩阵特征对反问题 |
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| 引用本文： | 黄贤通 胡锡炎. 给定特征向量部分分量的矩阵特征对反问题[J]. 南方冶金学院学报, 1997, 18(4): 319-326 |
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| 作者姓名： | 黄贤通 胡锡炎 |
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| 作者单位： | [1]南方冶金学院理学系 [2]湖南大学应用数学系 |
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| 摘 要： | 提出由矩阵持征向量部分分量及其全部特征值来构造对称三对角矩阵的问题，讨论了解存在和唯一的充分必要条件，且给出算法。
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| 关 键 词： | 数值代数 特征值 反问题 矩阵 特征向量 |
The Inverse Problem for Symmetric TridiagonalMatrices from Its Spectrum and Eigen-Pairs of the Matrix |
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| Huang Xiantong, Hu Xiyan. The Inverse Problem for Symmetric TridiagonalMatrices from Its Spectrum and Eigen-Pairs of the Matrix[J]. Journal of Southern Institute of Metallurgy, 1997, 18(4): 319-326 |
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| Authors: | Huang Xiantong Hu Xiyan |
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| Affiliation: | Huang Xiantong; Hu Xiyan (Department of Science) (Hunan University) |
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| Abstract: | This paper deals with the reconstruction of symmetric tridiagonal matrices fromits specturm and mixed given data of its eigen-pairs. The necessary and sufficientconditions for the existence and uniqueness of the solution are given. Somenumerical algorithms are presented. |
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| Keywords: | Numerical algebra Characteristic value Inverse problem |
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