The Representation and Computational Procedures for the Generalized Inverse [image omitted] of an Operator A in Hilbert Spaces

被引：17

作者：

Yu, Yaoming ^{[3
]}

Wei, Yimin ^{[1
,2
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

[3] Shanghai Normal Univ, Coll Educ, Shanghai, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2009年 / 30卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Bounded linear operator; Error bound; Generalized inverses AT; S(2); Representation; DRAZIN INVERSE; OUTER; A(T; S)((2)); CONVERGENCE; SPLITTINGS;

D O I：

10.1080/01630560902735314

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we present some representations of the generalized inverse [image omitted] over Banach spaces and Hilbert spaces and apply these results to five specific cases to derive specific representations and computational procedures for the generalized inverse [image omitted] of a bounded linear operator in Hilbert spaces and their error bounds. In addition, we give the equivalent conditions for the existence of [image omitted] over Banach spaces.

引用

页码：168 / 182

页数：15

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