Title of article
GMRES-type methods for inconsistent systems Original Research Article
Author/Authors
D. Calvetti، نويسنده , , B. Lewis، نويسنده , , L. Reichel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
13
From page
157
To page
169
Abstract
The behavior of iterative methods of GMRES-type when applied to singular, possibly inconsistent, linear systems is discussed and conditions under which these methods converge to the least-squares solution of minimal norm are presented. Error bounds for the computed iterates are shown. This paper complements previous work by Brown and Walker [P.N. Brown, H.F. Walker, SIAM J. Matrix Anal. Appl. 18 (1997) 37–51].
Keywords
Krylov methods , Singular linear systems
Journal title
Linear Algebra and its Applications
Serial Year
2000
Journal title
Linear Algebra and its Applications
Record number
823063
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