| Hermitian自反矩阵反问题的最小二乘解 |
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| 引用本文： | 肖庆丰. Hermitian自反矩阵反问题的最小二乘解[J]. 数学杂志, 2014, 34(1): 72-78 |
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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(2012a03) |
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| 摘 要： | 本文研究了Hermitian自反矩阵反问题的最小二乘解及其最佳逼近.利用矩阵的奇异值分解理论,获得了最小二乘解的表达式.同时对于最小二乘解的解集合,得到了最佳逼近解.
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| 关 键 词： | Hermitian自反矩阵 最小二乘解 最佳逼近 |
| 收稿时间： | 2012-10-19 |
| 修稿时间： | 2013-01-04 |
LEAST-SQUARES SOLUTION OF INVERSE PROBLEM FOR HERMITIAN REFLEXIVE MATRICES |
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| XIAO Qing-feng. LEAST-SQUARES SOLUTION OF INVERSE PROBLEM FOR HERMITIAN REFLEXIVE MATRICES[J]. Journal of Mathematics, 2014, 34(1): 72-78 |
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| Authors: | XIAO Qing-feng |
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| Affiliation: | XIAO Qing-feng;Department of Basic,Dongguan Polytechnic; |
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| Abstract: | The least-square solution of inverse problem for Hermitian reflexive matrices and their optimal approximation are considered. By using the singular value decomposition method, the general expression of the least-square solution is provided. Also, the representation of its unique optimal approximation in the least-square solutions set is presented. |
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| Keywords: | Hermitian reflexive matrix least-squares solution optimal approximation |
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