| 线性流形上反次对称矩阵反问题的最小二乘解 |
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| 引用本文： | 刘长荣,肖庆丰. 线性流形上反次对称矩阵反问题的最小二乘解[J]. 吉林化工学院学报, 2005, 22(4): 92-94 |
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| 作者姓名： | 刘长荣 肖庆丰 |
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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;湖南大学,数学与计量经济学院,湖南,长沙,410082 |
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| 摘 要： | 讨论了线性流形上反次对称矩阵反问题的最小二乘解及其逼近问题,得到了最小二乘解的一般表达式.给出了线性流形上矩阵反问题可解的充分必要条件,得到了最佳逼近问题解的表达式.
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| 关 键 词： | 线性流形 反次对称矩阵 最小二乘解 最佳逼近 |
| 文章编号： | 1007-2853（2005）04-0092-03 |
| 收稿时间： | 2005-04-14 |
| 修稿时间： | 2005-04-14 |
The least-squares solutions of inverse problems for anti-skew-symmetric on the linear manifold |
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| LIU Chang-rong,XIAO Qing-feng. The least-squares solutions of inverse problems for anti-skew-symmetric on the linear manifold[J]. Journal of Jilin Institute of Chemical Technology, 2005, 22(4): 92-94 |
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| Authors: | LIU Chang-rong XIAO Qing-feng |
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| Affiliation: | College of Mathematics and Econometrics, Hunan University, Changsha 410082, China |
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| Abstract: | The least-squares solutions of inverse problems of anti-skew-symmetric matrices and its optimal approximation problems are discussed. The general expression of the least-squares solutions is given. For the inverse problems of anti-skew-symmetric matrices on the linear manifold, the necessary and sufficient conditions for the solvability are given. Besides, the optimal approximation solution for anti-skew-symmetric matrices is obtained. |
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| Keywords: | linear manifold anti-skew-symmetric matrix least-squares solution optimal approximation |
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