| 线性流形上左右逆特征值问题的最小二乘解 |
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| 引用本文： | 李珍珠,唐耀平.线性流形上左右逆特征值问题的最小二乘解[J].湖南科技学院学报,2011,32(8):1-5. |
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| 作者姓名： | 李珍珠 唐耀平 |
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| 作者单位： | 1. 湖南科技学院人事处,湖南永州,425100
2. 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： | 湖南省自然科学基金资助项目，湖南省教育厅重点资助科研项目 |
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| 摘 要： | 利用矩阵的奇异值分解,研究了线性流形上实对称矩阵的左右逆特征值的最小二乘解,得到了最小二乘解的一般表达式.对于给定的矩阵,得到了它的最佳逼近解。
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| 关 键 词： | 左右逆特征值 线性流形 最小二乘解 |
Least-squares Solution for Left and Right Inverse Eigenvalues Problems on the Linear Manifold |
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| LI Zhen-zhu,TANG Yao-ping.Least-squares Solution for Left and Right Inverse Eigenvalues Problems on the Linear Manifold[J].Journal of Hunan University of Science and Engineering,2011,32(8):1-5. |
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| Authors: | LI Zhen-zhu TANG Yao-ping |
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| Institution: | 1.Pesonnel 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: | By applying the singular-value decomposition（SVD）of matrix,the general forms of least-squares solution for the left and right eigenvalues problems of real symmetric matrices on a linear manifold are given.The expression of the optimal approximate is provided for the matrices. |
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| Keywords: | Left and right Inverse eigenvalues Linear manifold Least-squares solution |
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