On IGMRES: An incomplete generalized minimal residual method for large unsymmetric linear systems
type: Item
instance of: scholarly article
title: On IGMRES: An incomplete generalized minimal residual method for large unsymmetric linear systems
zbMATH Open document ID: 0920.65017
DOI: 10.1007/BF02882268
author: Zhongxiao Jia
published in: Science in China. Series A
publication date: 1999-04-29T00:00:00Z
review text: The incomplete generalized minimal residual method (IGMRES) is studied, which is based on an incomplete orthogonalization of the Krylov vectors, and gives an approximate or quasi-minimal residual solution over the Kyrlov space. Convergence analysis is given and a numerical experiment is reported.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1281467
zbMATH Keywords: large unsymmetric linear systems
zbMATH Keywords: Krylov subspaces
zbMATH Keywords: convergence
zbMATH Keywords: incomplete generalized minimal residual method
zbMATH Keywords: incomplete orthogonalization
zbMATH Keywords: quasi-minimal residual solution
zbMATH Keywords: numerical experiment
reviewed by: F. Szidarovszky
describes a project that uses: DQGMRES
MaRDI profile type: Publication
cites work: Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
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cites work: On IOM(q): The Incomplete Orthogonalization Method for Large Unsymmetric Linear Systems
cites work: Q3154042
cites work: A Theoretical Comparison of the Arnoldi and GMRES Algorithms
cites work: A block incomplete orthogonalization method for large nonsymmetric eigenproblems
cites work: Q4220436
full work available at URL: https://doi.org/10.1007/bf02882268
OpenAlex ID: W2002097440
description: scientific article; zbMATH DE number 1281467