Perturbation Analysis of the Algebraic Metric Generalized Inverse in Lp(,)

被引：2

作者：

Cao, Jianbing ^{[1
,2
]}

Xue, Yifeng ^{[3
,4
]}

机构：

[1] Henan Inst Sci & Technol, Dept Math, Xinxiang, Henan, Peoples R China

[2] Henan Normal Univ, Postdoctoral Res Stn Phys, Xinxiang, Henan, Peoples R China

[3] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

[4] East China Normal Univ, Res Ctr Operator Algebras, Shanghai 200241, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 12期

基金：

中国博士后科学基金;

关键词：

Best approximate solution; gap function; metric generalized inverse; stable perturbation; Primary; 47A05; Secondary; 46B20; LINEAR-OPERATORS; BANACH-SPACES;

D O I：

10.1080/01630563.2017.1379025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X = LP cx)) and T, ST : X X be bounded i near operators. Put T = T 6T. In this paper, using the notion of quasi-additivity and the concept of stable perturbation, we will give some estimates of the upper bound of II TM - TM in terms of the gap function. As an application of main results, we also nvestigate the best approximate solution problem of ill -posed operator equation.

引用

页码：1624 / 1643

页数：20

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