| 线性流形上广义中心对称矩阵的最佳逼近 |
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| 引用本文： | 肖庆丰. 线性流形上广义中心对称矩阵的最佳逼近[J]. 数学理论与应用, 2012, 0(2): 76-82 |
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| 作者姓名： | 肖庆丰 |
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| 作者单位： | 东莞职业技术学院公共教学部 |
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| 基金项目： | supported by Scientific Research Fund of Dongguan Polytechnic(2011a15) |
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| 摘 要： | 讨论了线性流形上广义中心对称矩阵的最小二乘解，得到了解的一般表达式。对于任意给定的实对称矩阵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 广义中心对称矩阵 最佳逼近 |
The Optimal Approximation of a Generalized Centrosymmetric Matrix on a Linear Manifold |
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| Xiao Qingfeng. The Optimal Approximation of a Generalized Centrosymmetric Matrix on a Linear Manifold[J]. Mathematical Theory and Applications, 2012, 0(2): 76-82 |
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| Authors: | Xiao Qingfeng |
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| Affiliation: | Xiao Qingfeng(Department of Basic Education,Dongguan Polytechnic,Dongguan 523808,China) |
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| Abstract: | In this paper the set SE of all the generalized Centrosymmetric matrices A such that ‖AX-B‖= min forgiven matrices X and B are obtained and the optimal approximation satisfying ‖-‖=min A∈SE ‖-A‖ for a givenmatrix is find.Such is showed to be unique. |
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| Keywords: | Linear manifold Generalized Centrosymmetric matrix Optimal approximation |
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