| 线性流形上对称自正交相似矩阵最佳逼近 |
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| 引用本文： | 李珍珠,唐耀平,周立平. 线性流形上对称自正交相似矩阵最佳逼近[J]. 大学数学, 2012, 28(2): 42-45. DOI: 10.3969/j.issn.1672-1454.2012.02.011 |
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| 作者姓名： | 李珍珠 唐耀平 周立平 |
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| 作者单位： | 1.湖南科技学院人事处,永州,425100;2.湖南科技学院数学与计算科学系,永州,425100 |
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| 基金项目： | 湖南省教育厅重点资助科研项目 |
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| 摘 要： | 讨论了线性流形上对称自正交相似矩阵的最小二乘解,得到了解的一般表达式,对于任意给定的矩阵A＊,在最小二乘解集中得到了的A的最佳逼近解.
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| 关 键 词： | 线性流形 对称自正交相似矩阵 最佳逼近 |
The Optimal Approximation of Symmetric and Self-orthogonal Similar Matrices On the Linear Manifold |
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| LI Zhen-zhu,TANG Yao-ping,ZHOU Li-ping. The Optimal Approximation of Symmetric and Self-orthogonal Similar Matrices On the Linear Manifold[J]. College Mathematics, 2012, 28(2): 42-45. DOI: 10.3969/j.issn.1672-1454.2012.02.011 |
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| Authors: | LI Zhen-zhu TANG Yao-ping ZHOU Li-ping |
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| Affiliation: | 1.Personnel Department,Hunan University of Science and Engineering,Yongzhou 425100,China; 2.Department of Mathematics and Computational Science,Hunan University of Science and Engineering,Yongzhou 425100,China) |
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| Abstract: | The least-squares solutions of inverse problems of symmetric and self-orthogonal similar matrices on the linear manifold is discussed,and the general expressional of the solution is given.The optimal approximation solution for symmetric and self-orthogonal similar matrices is obtained. |
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| Keywords: | linear manifold symmetric and self-orthogonal similar matrix optimal approximation |
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