Bi-CGSTAB as an induced dimension reduction method
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Publication:607121
DOI10.1016/j.apnum.2009.07.001zbMath1200.65024OpenAlexW2019697755MaRDI QIDQ607121
Gerard L. G. Sleijpen, Martin B. van Gijzen, Peter Sonneveld
Publication date: 19 November 2010
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2009.07.001
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Uses Software
Cites Work
- A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
- The block conjugate gradient algorithm and related methods
- BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
- A block version of BiCGSTAB for linear systems with multiple right-hand sides
- Reliable updated residuals in hybrid Bi-CG methods
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations
- 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 Stabilized QMR Version of Block BiCG
- A Lanczos-type method for multiple starting vectors
- ML(k)BiCGSTAB: A BiCGSTAB Variant Based on Multiple Lanczos Starting Vectors
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