核-EP分解的弱核逆  

Weak core inverse of core-EP decomposition

作　　者：程杨 崔雨茹 CHENG Yang;CUI Yu-ru(College of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,Anhui,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241002

出　　处：《山东大学学报（理学版）》2023年第3期19-24,共6页Journal of Shandong University(Natural Science)

基　　金：安徽省自然科学基金资助项目(2008085MA06);安徽省高校优秀青年人才计划项目(gxyqZD2019009)。

摘　　要：基于矩阵的核-EP分解,研究复矩阵的弱核逆。对于复矩阵A,给出了A的弱核逆■新的表述,讨论了■成立的等价刻画,并研究了■与■的联系。Based on core-EP decomposition of a matrix,the weak core inverse of a complex matrix is studied. For a complex matrix A,a new representation of the weak core inverse ■ of A is given,and some equivalent characterizations of ■ are presented,as well as the relation between■,+ and■is investigated.

关 键 词：弱核逆 核-EP分解 弱群逆 DMP逆 

分 类 号：O151.21[理学—数学]