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.
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页码：1624 / 1643
页数：20
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