The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field  

作　　者：QIN Jian-guo SONG Guang-ai 

机构地区：[1]Department of Information and Computer Science, Zhcngzho~ Light Industry Institute, Zhengzhou450002, China [2]School of Mathematics and Information, Business Administration University of Shan-dong, Yantai 264005, China

出　　处：《Chinese Quarterly Journal of Mathematics》2006年第1期66-70,共5页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10471085)

摘　　要：Necessary and sufficient conditions are given for the existence of the general solution, the centrosymmetric solution, and the centroskewsymmetric solution to a system of linear matrix equations over an arbitrary skew field. The representations of such the solutions of the system are also derived.

关 键 词：system of matrix equations inner inverse of a matrix reflexive inverse of a matrix centro （skew） symmetric matrix skew field 

分 类 号：O151.21[理学—数学]