{A,W}加权核-EP分解下的矩阵加权Drazin逆的刻画与表示  

Characterization and representation of weighted Drazin inverse of matrices based on weighted core-EP decomposition of the pair{A,W}

作　　者：胡春梅 HU Chunmei(School of Mathematics and Information Technology,Lijiang Teachers College,Lijiang,Yunnan 674199,China)

机构地区：[1]丽江师范高等专科学校数学与信息技术学院,云南丽江674199

出　　处：《华东师范大学学报（自然科学版）》2023年第4期35-42,共8页Journal of East China Normal University(Natural Science)

基　　金：云南省教育厅科学研究基金(2021J1149)。

摘　　要：主要讨论{A,W}加权核-EP分解下的矩阵加权Drazin逆A^(d,W).将矩阵对{A,W}进行核-EP分解,得到A^(d,W )的刻画,进而推导出A^(d,W)的表示,最后讨论了A^(d,W)的极限表示和积分表示,并给出一个算例.This paper presents an investigation of the weighted Drazin inverse Ad,W of matrices based on{A,W}the weighted core-EP decomposition of the pair.Some characterizations and representations of the{A,W}weighted Drazin inverse are presented using the weighted core-EP decomposition of the pair.Further,the limit representations and the integral representations of the weighted Drazin inverse are discussed.Furthermore,an example is presented.

关 键 词：加权DRAZIN逆 加权核-EP分解 极限表示 积分表示 

分 类 号：O151.21[理学—数学]