Relaxation strategies for nested Krylov methods

DOI10.1016/j.cam.2004.09.024zbMath1069.65033OpenAlexW2117782600MaRDI QIDQ1775594

Gerard L. G. Sleijpen, Martin B. van Gijzen, Jasper van den Eshof

Publication date: 4 May 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.024

zbMATH Keywords

Schur complementnumerical experimentspreconditioningKrylov subspace methodsinner-outer iterationglobal ocean circulationflexible Krylov methodsinexact matrix-vector multiplicationrelaxation strategies

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

Nested Krylov Methods for Shifted Linear Systems ⋮ Krylov solvability under perturbations of abstract inverse linear problems ⋮ Revisiting the matrix‐free solution of Markov regenerative processes ⋮ Linear algebra software for large-scale accelerated multicore computing ⋮ Accelerating scientific computations with mixed precision algorithms

Uses Software

• MatrixMarket
• BiCGstab
• mctoolbox

Cites Work

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• The finite element discretization for stream-function problems on multiply connected domains
• Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds
• New insights in GMRES-like methods with variable preconditioners
• Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations
• Preconditioning a mixed discontinuous finite element method for radiation diffusion
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
• Inexact Krylov Subspace Methods for Linear Systems
• GMRESR: a family of nested GMRES methods
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• A Theoretical Comparison of the Arnoldi and GMRES Algorithms

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