| 线性流形上W准对称矩阵反问题的最小二乘解 |
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| 引用本文： | 唐耀平.线性流形上W准对称矩阵反问题的最小二乘解[J].高师理科学刊,2009,29(3). |
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| 作者姓名： | 唐耀平 |
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| 作者单位： | 湖南科技学院,数学与计算科学系,湖南,永州,425100 |
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| 基金项目： | 湖南科技学院重点科研课题 |
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| 摘 要： | 研究了线性流形上W对称矩阵反问题的最小二乘解及其逼近问题,给出了最小二乘解的一般表达式,并就该问题的特殊情况——矩阵反问题,获得了有解的充分必要条件,并在有解的条件下得到了解的一般表达式.
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| 关 键 词： | 线性流形 最小二乘解 最佳逼近 |
Least-square solutions of inverse problems of W-almost symmetric matrices on the linear manifold |
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| TANG Yao-ping.Least-square solutions of inverse problems of W-almost symmetric matrices on the linear manifold[J].Journal of Science of Teachers＇College and University,2009,29(3). |
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| Authors: | TANG Yao-ping |
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| Institution: | Department of Mathematics and Compute;Hunan University of Science and Engineering;Yongzhou 425100;China |
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| Abstract: | Discussed the least-squares solutions of inverse problems of W ?almost symmetric matrices on the linear manifold,and the general expressions of the solution was obtained.Moreover,for the special case of the least-squares problems,the necessary and sufficient conditions for the solvability and the general solution of this problems was given. |
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| Keywords: | linear manifold least-squares solution optimal approximation |
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