BiCGStab, VPAStab and an adaptation to mildly nonlinear systems
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Publication:869548
DOI10.1016/j.cam.2006.02.022zbMath1109.41009OpenAlexW2020994572MaRDI QIDQ869548
Publication date: 8 March 2007
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.2006.02.022
Numerical computation of solutions to systems of equations (65H10) Extrapolation to the limit, deferred corrections (65B05) Padé approximation (41A21) Algorithms for approximation of functions (65D15)
Related Items (3)
VPAStab\((J,L)\): an iterative method with look-ahead for the solution of large sparse linear systems ⋮ Accelerating an inexact Newton/GMRES scheme by subspace decomposition ⋮ Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method
Uses Software
Cites Work
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- Preconditioning techniques for nonsymmetric and indefinite linear systems
- Extrapolation methods theory and practice
- Matrix interpretations and applications of the continued fraction algorithm
- BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
- Variations of Zhang's Lanczos-type product method
- VPAStab: Stabilised vector-Padé approximation with application to linear systems
- Lanczos-type algorithms for solving systems of linear equations
- Look-ahead in Bi-CGSTAB and other product methods for linear systems
- Maintaining convergence properties of BiCGStab methods in finite precision arithmetic
- Reliable updated residuals in hybrid Bi-CG methods
- An Adaptation of Bicgstab for Nonlinear Biological Systems
- Hybrid Krylov Methods for Nonlinear Systems of Equations
- Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
- Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Numerical Linear Algebra for High-Performance Computers
- Variants of BICGSTAB for Matrices with Complex Spectrum
- GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems
- NITSOL: A Newton Iterative Solver for Nonlinear Systems
- Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
- Solving Nonlinear Equations with Newton's Method
- Reliability of Lanczos-type product methods from perturbation theory
- The breakdowns of BiCGStab
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