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| 线性流形上广义反次对称矩阵反问题的最小二乘解 | |
| 引用本文： | 肖庆丰. 线性流形上广义反次对称矩阵反问题的最小二乘解[J]. 吉林化工学院学报, 2012, 29(1): 78-81 |
| 作者姓名： | 肖庆丰 |
| 作者单位： | 东莞职业技术学院公共教学部,广东东莞,523808 |
| 基金项目： | 东莞职业技术学院科研项目（2011016）： |
| 摘 要： | 讨论了线性流形上广义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. |
| 关 键 词： | 线性流形 广义反次对称矩阵 最小二乘解 最佳逼近 |
The least-squares solutions of inverse problems for generalized anti-skew-symmetric matrices on the linear manifold |
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| XIAO Qing-feng. The least-squares solutions of inverse problems for generalized anti-skew-symmetric matrices on the linear manifold[J]. Journal of Jilin Institute of Chemical Technology, 2012, 29(1): 78-81 | |
| Authors: | XIAO Qing-feng |
| Affiliation: | XIAO Qing-feng ( Department of Basic Courses, Dongguan Polytechnic, Dongguan 523808, China) |
| Abstract: | The least-squares solutions of inverse problems of generalized 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 generalized anti-skew-symmetric matrices on the linear manifold, the necessary and sufficient conditions for the solvability are given. Besides, the optimal approximation solution for generalized anti-skew-symmetric matrices is obtained. |
| Keywords: | linear manifold generalized anti-skew-symmetric matrix least-squares solution optimal approximation |
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