On the Centrosymmetric and Centroskewsymmetric Solutions to a Matrix Equation over a Central Algebra  

作　　者：WANGQing-wen SUNJian-hua LIShang-zhi 

机构地区：[1]DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,China [2]DepartmentofMathematics,UniversityofYangzhou,Yangzhou225002,China

出　　处：《Chinese Quarterly Journal of Mathematics》2003年第2期111-116,共6页数学季刊（英文版）

基　　金：Supported by the Natural Science Foundation of China(10071078);Supported by the Natural Science Foundation of Shandong Province(Q99A08)

摘　　要：Let Ω be a finite dimensional central algebra and chart Ω≠2 .The matrix equation AXB-CXD=E over Ω is considered.Necessary and sufficient conditions for the existence of centro(skew)symmetric solutions of the matrix equation are given.As a particular case ,the matrix equation X-AXB=C over Ω is also considered.

关 键 词：central algebra matrix equation centro( skew) symmetric matrix regular matrix quadruple 

分 类 号：O151.21[理学—数学]