INDEX SPLITTING FOR THE DRAZIN INVERSE AND THE SINGULAR LINEAR-SYSTEM

Authors
WEI YM
Citation
Ym. Wei, INDEX SPLITTING FOR THE DRAZIN INVERSE AND THE SINGULAR LINEAR-SYSTEM, Applied mathematics and computation, 95(2-3), 1998, pp. 115-124
Citations number
22
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
95
Issue
2-3
Year of publication
1998
Pages
115 - 124
Database
ISI
SICI code
0096-3003(1998)95:2-3<115:ISFTDI>2.0.ZU;2-L
Abstract
An index splitting of a singular matrix A for the Drazin inverse and i ts relative iterations for the minimal P-norm solution of the singular linear system Ax = b [b is an element of R (A(k)), k = Ind(A)] are pr esented. Some convergence criteria are also given and a method is deve loped for constructing the index splitting of matrix A. (C) 1998 Elsev ier Science Inc. All rights reserved.