GMRES and the Arioli, Pták, and Strakoš parametrization

DOI10.1007/s10543-012-0374-4zbMath1253.65047OpenAlexW2037592038MaRDI QIDQ1759574

Gérard A. Meurant

Publication date: 21 November 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0374-4

zbMATH Keywords

approximationGMRESresidual normerrorconvergence curve

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

On the convergence of Q-OR and Q-MR Krylov methods for solving nonsymmetric linear systems ⋮ On two generalized inverse eigenvalue problems for Hessenberg-upper triangular pencils and their application to the study of GMRES convergence ⋮ Prescribing the behavior of early terminating GMRES and Arnoldi iterations ⋮ The Coefficients of the FOM and GMRES Residual Polynomials ⋮ Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES ⋮ GMRES algorithms over 35 years ⋮ On investigating GMRES convergence using unitary matrices ⋮ Necessary and sufficient conditions for GMRES complete and partial stagnation

Cites Work

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• Krylov sequences of maximal length and convergence of GMRES
• Necessary and sufficient conditions for GMRES complete and partial stagnation
• Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
• Geometric aspects of the theory of Krylov subspace methods
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• Methods for Modifying Matrix Factorizations
• Any Nonincreasing Convergence Curve is Possible for GMRES
• Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES

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