矩阵方程AXB=D的对称解及亚半正定解  

Symmetric and Semipositive Subdefinite Solutions of Matrix Equation AXB=D

作　　者：袁永新[1] 

机构地区：[1]华东船舶工业学院数理系,江苏镇江212003

出　　处：《华东船舶工业学院学报》2002年第5期79-82,共4页Journal of East China Shipbuilding Institute(Natural Science Edition)

摘　　要：给出了矩阵方程AXB=D有对称解及亚半正定解的充分必要条件,在解存在时,讨论了解的一般表示。The necessary and sufficient conditions for the matrix equation AXB=D having symmetric and semipositive subdefinite solutions are studied.The explicit expression for general solutions are also given when the conditions hold.

关 键 词：矩阵方程 对称解 亚半正定解 充分必要条件 广义逆矩阵 

分 类 号：O151.21[理学—数学]