Accelerate weighted GMRES by augmenting error approximations

DOI10.1080/00207160802617004zbMath1195.65039OpenAlexW1994006059MaRDI QIDQ5747743

Jituan Zhou, Qiang Niu, Lin-Zhang Lu

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802617004

zbMATH Keywords

numerical resultslinear systemsiterative methodArnoldi processrestarted weighted generalized minimum residual (GMRES) method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

Solving shifted linear systems with restarted GMRES augmented with error approximations ⋮ GMRES algorithms over 35 years ⋮ Weighted Inner Products for GMRES and GMRES-DR ⋮ Some observations on weighted GMRES

Uses Software

• Harwell-Boeing sparse matrix collection

Cites Work

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• Analysis of acceleration strategies for restarted minimal residual methods
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• Sparse matrix test problems
• Analysis of Augmented Krylov Subspace Methods
• A Restarted GMRES Method Augmented with Eigenvectors
• On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods
• A Technique for Accelerating the Convergence of Restarted GMRES
• Restarted GMRES augmented with harmonic Ritz vectors for shifted linear systems