GMRES-type methods for inconsistent systems

Authors
Calvetti, D Lewis, B Reichel, L
Citation
D. Calvetti et al., GMRES-type methods for inconsistent systems, LIN ALG APP, 316(1-3), 2000, pp. 157-169
Citations number
8
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
316
Issue
1-3
Year of publication
2000
Pages
157 - 169
Database
ISI
SICI code
0024-3795(20000901)316:1-3<157:GMFIS>2.0.ZU;2-D
Abstract
The behavior of iterative methods of GMRES-type when applied to singular, p ossibly inconsistent, linear systems is discussed and conditions under whic h these methods converge to the least-squares solution of minimal norm are presented. Error bounds for the computed iterates are shown. This paper com plements previous work by Brown and Walker [P.N. Brown, H.F Walker, SIAM J. Matrix Anal. Appl, 18 (1997) 37-51], (C) 2000 Elsevier Science Inc. All ri ghts reserved.