Hermitian自反矩阵反问题的最小二乘解(英文)  

LEAST-SQUARES SOLUTION OF INVERSE PROBLEM FOR HERMITIAN REFLEXIVE MATRICES

作　　者：肖庆丰[1] 

机构地区：[1]东莞职业技术学院公共教学部,广东东莞523808

出　　处：《数学杂志》2014年第1期72-78,共7页Journal of Mathematics

基　　金：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.The least-square solution of inverse problem for Hermitian reflexive matrices and their optimM 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.

关 键 词：Hermitian自反矩阵 最小二乘解 最佳逼近 

分 类 号：O241.6[理学—计算数学]