A note on Krylov subspace methods for singular systems
type: Item
instance of: scholarly article
title: A note on Krylov subspace methods for singular systems
zbMATH Open document ID: 1013.65034
DOI: 10.1016/S0024-3795(02)00310-5
author: Zhi-Hao Cao
author: Mei Wang
published in: Linear Algebra and its Applications
publication date: 2002-08-28T00:00:00Z
review text: \textit{D. Calvietti, B. Lewis} and \textit{L. Reichel} [Linear Algebra Appl. 316, No.~1-3, 157-169 (2000; Zbl 0963.65042)] studied the least-squares solution of a singular system of linear equations by using the so called range restricted GMRES method. The authors of this short paper found that one of the main results of the referred paper is incomplete. They present an example to show the incompleteness of the corresponding theorem and then give a modified result.
reviewed by: Krassimir Georgiev
Mathematics Subject Classification ID: 65F22
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1790271
zbMATH Keywords: Krylov subspace methods
zbMATH Keywords: least-squares algorithm
zbMATH Keywords: singular systems of equations
zbMATH Keywords: range restricted GMRES method
zbMATH Keywords: inconsistent systems
MaRDI profile type: Publication
cites work: GMRES On (Nearly) Singular Systems
cites work: GMRES-type methods for inconsistent systems
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
description: scientific article; zbMATH DE number 1790271