| Hermitian自反矩阵反问题的最小二乘解 |
| |
| 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. |
| |
| 作者姓名： | 肖庆丰 |
| |
| 作者单位： | 东莞职业技术学院公共教学部 |
| |
| 基金项目： | Supported by Scientific Research Fund of Dongguan Polytechnic(2012a03) |
| |
| 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.
|
| 关 键 词： | Hermitian自反矩阵 最小二乘解 最佳逼近 |
| 收稿时间： | 2012/10/19 0:00:00 |
| 修稿时间： | 2013/1/4 0:00:00 |
LEAST-SQUARES SOLUTION OF INVERSE PROBLEM FOR HERMITIAN REFLEXIVE MATRICES |
| |
| XIAO Qing-feng.LEAST-SQUARES SOLUTION OF INVERSE PROBLEM FOR HERMITIAN REFLEXIVE MATRICES[J].Journal of Mathematics,2014,34(1):72-78. |
| |
| Authors: | XIAO Qing-feng |
| |
| Institution: | XIAO Qing-feng;Department of Basic,Dongguan Polytechnic; |
| |
| 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. |
| |
| Keywords: | Hermitian reflexive matrix least-squares solution optimal approximation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
