东南大学学报（英文版）2017，Vol.33Issue(1)：123-126,4.DOI:10.3969/j.issn.1003-7985.2017.01.020
关于友矩阵的Moore-Penrose逆的一个注记
A note on the Moore-Penrose inverse of a companion matrix
摘要
Abstract
Let R be an associative ring with unity 1.The existence of the Moore-Penrose inverses of block matrices over R is investigated and the sufficient and necessary conditions for such existence are obtained.Furthermore,the representation of the Moore-Penrose inverse of M =[0CAB] is given under the condition of EBF =0,where E =I-CC+ and F =I-A*A.This result generalizes the representation of the MoorePenrose inverse of the companion matrix M =[0Inab] due to Pedro Patrfcio.As for applications,some examples are given to illustrate the obtained results.关键词
友矩阵/Moore-Penrose 逆/环Key words
companion matrix/Moore-Penrose inverse/ring分类
数理科学引用本文复制引用
王龙,陈建龙..关于友矩阵的Moore-Penrose逆的一个注记[J].东南大学学报（英文版）,2017,33(1):123-126,4.基金项目
The National Natural Science Foundation of China(No.11371089),the Natural Science Foundation of Jiangsu Province(No.BK20141327),Specialized Research Fund for the Doctoral Program of Higher Education (No.20120092110020),the Natural Science Foundation of Jiangsu Higher Education Institutions of China (No.15KJB110021). （No.11371089）
