| 线性流形上实对称矩阵的左右逆特征值问题 |
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| 引用本文： | 李珍珠. 线性流形上实对称矩阵的左右逆特征值问题[J]. 湖南科技学院学报, 2009, 30(4) |
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| 作者姓名： | 李珍珠 |
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| 作者单位： | 湖南科技学院,人事处,湖南,永州,425100 |
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| 摘 要： | 讨论了线性流形上实对称矩阵的左右特征值反问题解存在的充分必要条件,并给出了通解表达式.对于给定的矩阵,得到了它的加权最佳逼近解的表达式.
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| 关 键 词： | 线性流形 实对称矩阵 矩阵反问题 加权最佳逼近解 |
Left and Right Inverse Eigenvalues Problem of Real Symmetric Matrices on a Linear Manifold |
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| LI Zhen-zhu. Left and Right Inverse Eigenvalues Problem of Real Symmetric Matrices on a Linear Manifold[J]. Journal of Hunan University of Science and Engineering, 2009, 30(4) |
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| Authors: | LI Zhen-zhu |
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| Affiliation: | Personnel department;Hunan University of science and Engineering;Yongzhou 425100 |
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| Abstract: | The sufficient and necessary conditions for the left and right eigenvalues of real symmetric matrices on a linear manifold. The general forms of such solution are given. The expression of the weighted optimal approximate is provided for the matrices. |
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| Keywords: | Linear manifold Real symmetric matrix Inverse problem of matrix Weighted optimal approximate |
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