Flexible BiCG and flexible Bi-CGSTAB for nonsymmetric linear systems

DOI10.1016/j.amc.2006.09.116zbMath1114.65318OpenAlexW1966448113MaRDI QIDQ2371422

Judith A. Vogel

Publication date: 4 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.116

zbMATH Keywords

linear systemsnumerical experimentsiterative methodsKrylov subspace methodsflexible preconditioningBi-CGSTAB algorithms

Mathematics Subject Classification ID

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

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Uses Software

• CGS

Cites Work

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• Flexible Conjugate Gradients
• A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
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• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• An Implementation of the QMR Method Based on Coupled Two-Term Recurrences
• Flexible Inner-Outer Krylov Subspace Methods
• Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration
• Iterative Krylov Methods for Large Linear Systems
• GMRESR: a family of nested GMRES methods
• Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• FQMR: A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning