|
| 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 |
| DOI： |
| 分类号:O241.6 |
| 基金项目:Supported by Scientific Research Fund of Dongguan Polytechnic (2012a03). |
|
| LEAST-SQUARES SOLUTION OF INVERSE PROBLEM FOR HERMITIAN REFLEXIVE MATRICES |
|
XIAO Qing-feng
|
| 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. |
| Key words: Hermitian reflexive matrix least-squares solution optimal approximation |
