| 反对称次对称矩阵反问题的最小二乘解 |
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| 引用本文： | 周硕,吴柏生.反对称次对称矩阵反问题的最小二乘解[J].东北数学,2007,23(3). |
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| 作者姓名： | 周硕 吴柏生 |
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| 摘 要： |
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Least-square Solutions of Inverse Problems for Anti-symmetric and Skew-symmetric Matrices |
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| ZHOU Shuo,WU Bai-sheng.Least-square Solutions of Inverse Problems for Anti-symmetric and Skew-symmetric Matrices[J].Northeastern Mathematical Journal,2007,23(3). |
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| Authors: | ZHOU Shuo WU Bai-sheng |
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| Abstract: | The least-square solutions of inverse problem for anti-symmetric and skew-symmetric matrices are studied. In addition, the problem of using anti-symmetric and skew-symmetric matrices to construct the optimal approximation to a given matrix is discussed, the necessary and sufficient conditions for the problem are derived,and the expression of the solution is provided. A numerical example is given to show the effectiveness of the proposed method. |
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| Keywords: | anti-symmetric and skew-symmetric matrix matrix norm optimal approximation canonical correlation decomposition |
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