A note on weighted FOM and GMRES for solving nonsymmetric linear systems
type: Item
instance of: scholarly article
title: A note on weighted FOM and GMRES for solving nonsymmetric linear systems
zbMATH Open document ID: 1053.65017
DOI: 10.1016/S0096-3003(03)00373-4
author: Xiaoyun Yu
author: Zhi-Hao Cao
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
review text: Recently \textit{A. Essai} [Numer. Algorithms 18, 277--292 (1998; Zbl 0926.65036)] presented two new methods called weighted full orthogonal method (WFOM) and weighted generalized minimal residual (WGMRES) method for solving nonsymmetric linear systems. In this note the authors first point out a scaling invariant property of these methods, then they discuss the performance of the preconditioned weighted FOM and GMRES. Experimental results are presented to show that, in contrast to WFOM and WGMRES, the preconditioned weighed FOM and GMRES have not so good performance compared to preconditioned FOM(m) and preconditioned GMRES(m).
reviewed by: X. Antoine
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65F50
zbMATH DE Number: 2082085
zbMATH Keywords: nonsymmetric linear systems
zbMATH Keywords: sparse matrix
zbMATH Keywords: iterative methods
zbMATH Keywords: preconditioning
zbMATH Keywords: Krylov subspaces
zbMATH Keywords: Arnoldi method
zbMATH Keywords: FOM
zbMATH Keywords: GMRES
zbMATH Keywords: numerical examples
zbMATH Keywords: full orthogonal method
zbMATH Keywords: weighted generalized minimal residual method
describes a project that uses: MatrixMarket
MaRDI profile type: Publication
cites work: A Theoretical Comparison of the Arnoldi and GMRES Algorithms
cites work: Weighted FOM and GMRES for solving nonsymmetric linear systems
cites work: An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
cites work: Parallel iterative methods for sparse linear systems
full work available at URL: s0096-3003(03)00373-4
OpenAlex ID: W2095566544
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description: scientific article; zbMATH DE number 2082085