Perturbation of generalized inverses of linear operators in Hilbert spaces

被引：23

作者：

Ding, J ^{[1
]}

Huang, LJ ^{[1
]}

机构：

[1] ROCKFORD COLL,DEPT MATH,ROCKFORD,IL 61108

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 198卷 / 02期

关键词：

D O I：

10.1006/jmaa.1996.0095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X and Y be Hilbert spaces, and let T: X --> Y be a bounded linear operator with closed range. In this paper we present some new results of the perturbation analysis on the generalized inverse of T and the related least squares solution to the operator equation Tx = y. (C) 1996 Academic Press, Inc.

引用

页码：506 / 515

页数：10

共 9 条

[1]

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[2]

DING J, 1990, PROG SYST C, V5, P458

[3] ON THE PERTURBATION OF THE LEAST-SQUARES SOLUTIONS IN HILBERT-SPACES [J].

DING, J ;

HUANG, LJ .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 212 :487-500

[4]

Goldberg S., 1966, Unbounded Linear Operators

[5]

GROEWTSCH CW, 1977, GENERALIZED INVERSES

[6]

Kato T., 1984, PERTURBATION THEORY

[7]

NASHED M., 1976, Generalized Inverses and Applications, P325, DOI DOI 10.1016/B978-0-12-514250-2.50013-5

[8]

Stewart G., 1990, MATRIX PERTURBATION

[9]

Wedin P.-A., 1973, BIT (Nordisk Tidskrift for Informationsbehandling), V13, P217, DOI 10.1007/BF01933494

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