| 线性流形上广义反次对称矩阵的最佳逼近 |
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| 引用本文： | 肖庆丰,张忠志,顾广泽. 线性流形上广义反次对称矩阵的最佳逼近[J]. 湖南大学学报(自然科学版), 2006, 33(2): 125-127 |
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| 作者姓名： | 肖庆丰 张忠志 顾广泽 |
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| 作者单位： | 湖南大学,数学与计量经济学院,湖南,长沙,410082;东莞理工学院,软件学院,广东,东莞,523106 |
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| 基金项目： | 国家自然科学基金资助项目(10571047) |
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| 摘 要： | 讨论了线性流形上广义反次对称矩阵的最小二乘解,得到了解的一般表达式,对于任意给定的实矩阵A,在最小二乘解集中得到了A的最佳逼近解.
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| 关 键 词： | 线性流形 广义反次对称矩阵 最佳逼近 |
| 文章编号： | 1000-2472（2006）02-0125-03 |
| 收稿时间： | 2005-06-15 |
| 修稿时间： | 2005-06-15 |
The Optimal Approximation of Generalized Anti-Skew-Symmetric Matrices on the Linear Manifold |
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| XIAO Qing-feng,ZHANG Zhong-zhi,GU Guang-ze. The Optimal Approximation of Generalized Anti-Skew-Symmetric Matrices on the Linear Manifold[J]. Journal of Hunan University(Naturnal Science), 2006, 33(2): 125-127 |
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| Authors: | XIAO Qing-feng ZHANG Zhong-zhi GU Guang-ze |
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| Affiliation: | 1. College of Mathematics and Econometrics, Hunan Univ, Changsha, Huan 410082, China; 2. Dongguan Institute of Science and Technology, Dongguan, Guangdong 523106, China |
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| Abstract: | The least-squares solutions of inverse problems of generalized antiskew-symmetric matrices on the linear manifold were discussed,and the general expressions of the solution were given.And the optimal approximation solution for generalized anti-skew-symmetric matrices was obtained. |
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| Keywords: | linear manifold generalized anti-skew-symmetric matrix optimal approximation |
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