| 对称次反对称矩阵反问题的最小二乘解 |
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| 引用本文： | 钱爱林,吴又胜. 对称次反对称矩阵反问题的最小二乘解[J]. 咸宁学院学报, 2004, 24(6): 12-16 |
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| 作者姓名： | 钱爱林 吴又胜 |
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| 作者单位： | 咸宁学院,数学系,湖北,咸宁,437005 |
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| 摘 要： | 讨论了对称次反对称矩阵反问题的最小二乘解，得到了解的具体表达式．并讨论了用对称次反对称矩阵构造给定矩阵的最佳逼近问题，给出了该问题有解的充要条件和解的表达式．
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| 关 键 词： | 对称次反对称矩阵 矩阵范数 最佳逼近 |
| 文章编号： | 1006-5342(2004)06-0012-05 |
Least-square Solutions of Inverse Problem for Symmetric and Skew Anti-symmetric Matrices |
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| QIAN Ai-lin,WU You-sheng. Least-square Solutions of Inverse Problem for Symmetric and Skew Anti-symmetric Matrices[J]. Journal of Xianning College, 2004, 24(6): 12-16 |
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| Authors: | QIAN Ai-lin WU You-sheng |
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| Abstract: | The least-square solutions of the inverse problem of symmetric and skew anti-Symmetric matrices is discussed,and expression of the solution is obtained. In addition, the proProblem of using symmetric and skew anti-symmetric matrices to construct the optimalapproximation to a given matrix is discussed, the necessary and sufficient conditions about the problem are derived,and the expression of the solution is provided. |
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| Keywords: | Symmetric and skew anti-symmetric matrices Matrix norm Optimal approximation |
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