Convergence conditions for a restarted GMRES method augmented with eigenspaces

DOI10.1002/nla.421zbMath1164.65362OpenAlexW1930195566MaRDI QIDQ3599981

Jan Zítko

Publication date: 9 February 2009

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.421

zbMATH Keywords

convergenceeigenvalueseigenspacesrestarted GMRES methodnon-Hermitian systemsaugmented Krylov subspace methodrestarted generalized minimal residual (GMRES)

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Usage of the convergence test of the residual norm in the Tsuno-Nodera version of the GMRES algorithm

Uses Software

• eigs
• IRAM

Cites Work

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• Analysis of acceleration strategies for restarted minimal residual methods
• Restarted GMRES preconditioned by deflation
• Using successive approximations for improving the convergence of GMRES method
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Adaptively Preconditioned GMRES Algorithms
• Analysis of Augmented Krylov Subspace Methods
• Deflated and Augmented Krylov Subspace Techniques
• GMRES with Deflated Restarting
• A Restarted GMRES Method Augmented with Eigenvectors

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