Perturbation bound of the Drazin inverse

Authors
Wei, YM
Citation
Ym. Wei, Perturbation bound of the Drazin inverse, APPL MATH C, 125(2-3), 2002, pp. 231-244
Citations number
22
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
125
Issue
2-3
Year of publication
2002
Pages
231 - 244
Database
ISI
SICI code
0096-3003(20020125)125:2-3<231:PBOTDI>2.0.ZU;2-#
Abstract
A perturbation theory for the Drazin inverse AD is developed. This theory i s based on the Jordan canonical form of A. Norm estimates of \ \ (A + E)(#) -A(D) \ \ are derived when A(D) and A + E are of the same rank and \ \E \ \ is small. A hard problem by Campbell and Meyer [Linear Algebra Appl. 10 ( 1975) 77-83] is partially solved. (C) 2002 Elsevier Science Inc. All rights reserved.