| Least-square Solutions of Inverse Problems for Anti-symmetric and Skew-symmetric Matrices |
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| 作者姓名： | 周硕 吴柏生 |
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| 作者单位： | [1]College of Science, Northeast Dianli University, Jilin City, 132012 [2]Institute of Mathematics, Jilin University, Changchun, 130012 |
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| 基金项目： | The NNSF （10472037） of China. |
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| 摘 要： |
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| 关 键 词： | 最小二乘方 解题方法 对称性 矩阵 近似值 |
| 文章编号： | 1000-1778（2007）03-0189-11 |
| 收稿时间： | 2004-05-30 |
| 修稿时间： | 2004年3月30日 |
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):189-199. |
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| Authors: | ZHOU Shuo WU Bai-sheng |
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| Institution: | 1.College of Science, Northeast Dianli University, Jilin City, 132012;2.Institute of Mathematics, Jilin University, Changchun, 130012 |
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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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