吉林大学学报（理学版）2012，Vol.50Issue(5)：875-880,6.
矩阵方程组(AX=B,XC=D)的Hermitian反自反(反Hermitian反自反)最小二乘解及其最佳逼近
Least Squares Solutions of Matrix Equations AX=B,XC=D for Hermitian Anti-reflexive (Anti-Hermitian Anti-reflexive)Matricesand and Its Approximation
摘要
Abstract
Hermitian anti-reflexive (anti-Hermitian anti-reflexive) least squares solutions of matrix equations AX = B, XC = D were considered. With special properties of partitioned matrices and Hermitian anti-reflexive (anti-Hermitian anti-reflexive) matrices, the general expression of the solution was obtained. Moreover, the related optimal approximation problem to a given matrix over the solution set was considered.关键词
矩阵方程组/Hermitian反自反矩阵/反Hermitian反自反矩阵/最小二乘解/最佳逼近Key words
matrix equations/ Hermitian anti-reflexive matrix/ anti-Hermitian anti-reflexive matrix/ least squares solution/ optimal approximation分类
数理科学引用本文复制引用
周硕,王霖,王雯..矩阵方程组(AX=B,XC=D)的Hermitian反自反(反Hermitian反自反)最小二乘解及其最佳逼近[J].吉林大学学报（理学版）,2012,50(5):875-880,6.基金项目
国家自然科学基金(批准号:11072085)和吉林省自然科学基金(批准号:201115180). （批准号:11072085）
