重庆理工大学学报：自然科学2012，Vol.26Issue(4)：109-114,6.
自反矩阵下矩阵方程AXB＋CXD=E的最佳逼近解
The Optimal Approximation Solutions of Matrix Equations AXB ＋ CXD = E over Generalized Reflexive Matrices
摘要
Abstract
In this paper, we give the representation of the optimal approximation solutions of the gen- eralized Sylvester matrix equations AXB ＋ CXD = E over reflexive （anti-reflexive） matrices by making use of orthonormal basis. Tile given representation can be used to compute the optimal approximation solutions whether matrix equations AXB ＋ CXD = E are consistent or not. The effectiveness of the rep- resentation is verified by two numerical examples.关键词
Sylvester矩阵方程/Kronecker积/标准正交基/最佳逼近/自反矩阵Key words
Sylvester matrix equations/Kronecker product/orthonormal basis/optimal approxima- tion/reflexive matrix分类
数理科学引用本文复制引用
孙合明,李庆芳,杨家稳..自反矩阵下矩阵方程AXB＋CXD=E的最佳逼近解[J].重庆理工大学学报：自然科学,2012,26(4):109-114,6.基金项目
安徽省高校省级自然科学基金资助项目 （）
