| 中心对称矩阵的特征值反问题 |
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| 引用本文： | 郭丽杰,秦万广,周硕.中心对称矩阵的特征值反问题[J].东北电力学院学报,2004,24(2):52-57. |
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| 作者姓名： | 郭丽杰 秦万广 周硕 |
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| 作者单位： | 东北电力学院数理科学系 吉林吉林132012
(郭丽杰，秦万广)，东北电力学院数理科学系 吉林吉林132012(周硕) |
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| 摘 要： | 讨论了中心对称矩阵反问题的最小二乘解，得到了解的具体表达式。并讨论了用中心对称矩阵构造给定矩阵的最佳逼近问题，给出中心对称矩阵特征值反问题有解的充分必要条件和解的表达式。
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| 关 键 词： | 特征值 反问题 奇异值分解 中心对称矩阵 |
| 文章编号： | 1005-2992(2004)02-0052-06 |
Inverse Eigenvalue Problem for Centro-symmetric Matrices |
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| GUO Li jie,QIN Wan guang,ZHOU Shuo.Inverse Eigenvalue Problem for Centro-symmetric Matrices[J].Journal of Northeast China Institute of Electric Power Engineering,2004,24(2):52-57. |
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| Authors: | GUO Li jie QIN Wan guang ZHOU Shuo |
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| Abstract: | The least squares solutions of inverse problem of centro symmetric matrices is discussed and the expression of the solution is obtained. Besides,the problem of using centro symmetric matrices to construct the optimal approximation for a given matrix is discussed.The necessary and sufficient condition about the inverse eigenvalue problem and the expression of the solution are also provided. |
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| Keywords: | Centro-symmetric matrices Inverse problem Eigenvalue Singular-value decomposition |
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