On the QMR approach for iterative methods including coupled three-term recurrences for solving nonsymmetric linear systems
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Publication:1294470
DOI10.1016/S0168-9274(98)00004-XzbMath0939.65051OpenAlexW2021735926MaRDI QIDQ1294470
Publication date: 10 July 2000
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00004-x
iterative methodsnon-symmetric linear systemsbreakdown avoiding algorithmquasi-minimal residual algorithmsthree-term recurrences
Related Items (6)
A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems ⋮ Fast iterative solution of stabilized Navier--Stokes systems ⋮ Variations of Zhang's Lanczos-type product method ⋮ Hybrid Bi-CG methods with a Bi-CG formulation closer to the IDR approach ⋮ Towards backward perturbation bounds for approximate dual Krylov subspaces ⋮ A note on convergence of quasi-minimal residual smoothing
Uses Software
Cites Work
- A breakdown-free Lanczos type algorithm for solving linear systems
- QMR: A quasi-minimal residual method for non-Hermitian linear systems
- Avoiding breakdown and near-breakdown in Lanczos type algorithms
- Avoiding breakdown in variants of the BI-CGSTAB algorithm
- CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
- Variants of BICGSTAB for Matrices with Complex Spectrum
- A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
- A Family of Quasi-Minimal Residual Methods for Nonsymmetric Linear Systems
- Residual Smoothing Techniques for Iterative Methods
- A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems
- A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
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