华东交通大学学报Issue(3)：122-125,4.
矩阵方程AX=B的自反解与反自反解及最佳逼近
Reflexive and Anti-reflexive Solutions to Matrix Equation AX=B and the Optimal Approximation
摘要
Abstract
Generally, the main methods to study the P, Q reflexive and anti-reflexive solutions of the matrix equa⁃tion AX=B are the decomposition of matrices and the generalized singular value decomposition of matrices. This paper studies the equation by using the generalized inverse and establishes conditions for the existence and repre⁃sentations of the reflexive and anti-reflexive solutions .Moreover, the optimal approximation solutions are also dis⁃cussed.关键词
自反解/反自反解/矩阵方程/最佳逼近解Key words
reflexive solution/anti-reflexive solution/matrix equation/optimal approximation分类
数理科学引用本文复制引用
王婧,刘喜富..矩阵方程AX=B的自反解与反自反解及最佳逼近[J].华东交通大学学报,2015,(3):122-125,4.基金项目
国家自然科学基金项目(11461026)；江西省科技厅项目(20142BAB211010) （11461026）
