| 线性流形上一类对称广义中心对称矩阵的最佳逼近问题 |
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| 引用本文： | 谢冬秀,刘仲云. 线性流形上一类对称广义中心对称矩阵的最佳逼近问题[J]. 高等学校计算数学学报, 2010, 32(1) |
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| 作者姓名： | 谢冬秀 刘仲云 |
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| 作者单位： | 北京信息科技大学数学系,北京,100192;长沙理工大学数学与计算科学学院,长沙,410114 |
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| 基金项目： | 国家自然科学基金,北京市属高等学校人才强教计划资助项目 |
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| 摘 要： | <正>1问题的提出为叙述方便起见,首先介绍本文中出现的符号.设SR~(n×n)和OR~(n×n)分别表示所有n阶实对称矩阵和正交矩阵的集合,A~+和‖A‖_F分别表示A的Moore-Penrose广义逆和
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| 关 键 词： | 实对称矩阵 解集合 逼近问题 广义逆 线性流形 中心对称矩阵 正交矩阵 |
THE OPTIMAL APPROXIMATION PROBLEM ABOUT A CLASS OF SYMMETRIC GENERALIZED CENTRO-SYMMETRIC MATRICES ON A LINEAR MANIFOLD |
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| Xie Dongxiu Liu Zhongyun. THE OPTIMAL APPROXIMATION PROBLEM ABOUT A CLASS OF SYMMETRIC GENERALIZED CENTRO-SYMMETRIC MATRICES ON A LINEAR MANIFOLD[J]. Numerical Mathematics A Journal of Chinese Universities, 2010, 32(1) |
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| Authors: | Xie Dongxiu Liu Zhongyun |
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| Affiliation: | Xie Dongxiu (Department of Mathematics,Beijing Information Science and Technology University,Beijing 100192) Liu Zhongyun (School of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha 410114) |
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| Abstract: | The optimal approximation problem about a class of symmetric generalized centro-symmetric matrices on a linear manifold is discussed.The expression of the solution to the problem is given.The perturbation analysis of the solution is provided. |
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| Keywords: | symmetric generalized centro-symmetric matrix matrix norm linear manifold the optimal approximation |
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