| 对称正交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.对称正交反对称矩阵反问题的最小二乘解[J].甘肃科学学报,2006,18(1):17-21. |
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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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| 基金项目： | 湖北省咸宁学院校科研和教改项目 |
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| 摘 要： | 讨论了对称正交反对称矩阵反问题的最小二乘解,得出了解的最小表达式.并讨论了用对称正交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： | 对称正交反对称矩阵 矩阵范数 最佳逼近 |
| 文章编号： | 1004-0366（2006）01-0017-05 |
| 收稿时间： | 2004-11-30 |
| 修稿时间： | 2004年11月30 |
Least-square Solutions of Inverse Problem for Symmetric Orthogonal Anti-symmetric Matrices |
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| QIAN Ai-lin,WU You-sheng.Least-square Solutions of Inverse Problem for Symmetric Orthogonal Anti-symmetric Matrices[J].Journal of Gansu Sciences,2006,18(1):17-21. |
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| Authors: | QIAN Ai-lin WU You-sheng |
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| Institution: | Dept of Math, Xianning College, Xianning 437005, China |
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| Abstract: | matrices is symmetric discussed, The least-square solutions of the inverse problem of symmetric orthogonal anti-symmetric discussed, and the expression of the solution is obtained. In addition, the problem of using orthogonal anti-symmetric matrices to construct the optimal approximation to a given matrix is the necessary and sufficient conditions about the problem are derived, and the expression of the solution is provided. |
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| Keywords: | symmetric orthogonal anti-symmetric matrices matrix norm optimal approximation |
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