Moore-Penrose逆和Drazin逆的正则分解表示及其扰动  

THE EXPRESSION ON REGULAR FACTORIZATION FOR THE MOORE-PENROSE INVERSE AND DRAZIN INVERSE AND THEIR PERTURBATIONS

作　　者：黄强联[1] 陈赛杰 Huang Qianglian;Chen Saijie(School of Mathematical Sciences,Yangzhou University,Yangzhou 225002)

机构地区：[1]扬州大学数学科学学院,扬州225002

出　　处：《高等学校计算数学学报》2021年第3期258-266,共9页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金资助(11771378);江苏省研究生科研创新计划项目(KYCX21_3189);扬州大学中青年学术带头人基金资助(2016zqn03)

摘　　要：1引言及预备知识设X,Y为Banach空间,B(X,Y)表示从X到Y中的有界线性算子组成的Banach空间.简记B(X,X)为B(X).对算子T∈B(X,Y),R(T)与N(T)分别表示T的值域和核空间.I_(P)表示空间P上的恒等算子.This paper concerns the expression and perturbation of the two most important kinds of generalized inverses,Moore-Penrose inverse and Drazin inverse,from the view of the regular factorization.We give some explicit expressions of the Moore-Penrose inverse and Drazin inverse.Based on them,we investigate the problem of the expression and perturbation and obtain the expression under the stable perturbation.

关 键 词：DRAZIN逆 有界线性算子 BANACH空间 恒等算子 核空间 正则分解 预备知识 值域 

分 类 号：O177.2[理学—数学]