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Reliable updated residuals in hybrid Bi-CG methods

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nla.1680020205openalex-snapshot
Approximate solutions and eigenvalue bounds from Krylov subspaces
inferredcites →https://doi.org/10.1007/bf01385726openalex-snapshot
QMR: a quasi-minimal residual method for non-Hermitian linear systems
inferredcites →https://doi.org/10.1007/bf02140769openalex-snapshot
Maintaining convergence properties of BiCGstab methods in finite precision arithmetic
inferredcites →https://doi.org/10.1007/bf02141261openalex-snapshot
BiCGstab(l) and other hybrid Bi-CG methods
inferredcites →https://doi.org/10.1007/bfb0080116openalex-snapshot
Conjugate gradient methods for indefinite systems
inferredcites →https://doi.org/10.1016/0024-3795(80)90167-6openalex-snapshot
Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem
inferredcites →https://doi.org/10.1016/0024-3795(89)90285-1openalex-snapshot
Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences
inferredcites →https://doi.org/10.1016/0377-0427(95)00227-8openalex-snapshot
Generalized conjugate gradient squared
inferredcites →https://doi.org/10.1090/s0025-5718-1994-1201066-7openalex-snapshot
Error Analysis of the Lanczos Algorithm for the Nonsymmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0910004openalex-snapshot
CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
inferredcites →https://doi.org/10.1137/0913035openalex-snapshot
Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0914009openalex-snapshot
An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
inferredcites →https://doi.org/10.1137/0914028openalex-snapshot
A Flexible Inner-Outer Preconditioned GMRES Algorithm
inferredcites →https://doi.org/10.1137/0914029openalex-snapshot
A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
inferredcites →https://doi.org/10.1137/0915021openalex-snapshot
Residual Smoothing Techniques for Iterative Methods
inferredcites →https://doi.org/10.1137/s0895479895284944openalex-snapshot
Estimating the Attainable Accuracy of Recursively Computed Residual Methods
inferredcites →https://doi.org/10.5860/choice.45-5628openalex-snapshot
Numerical linear algebra
inferredcites →https://doi.org/10.6028/jres.049.006openalex-snapshot
Solution of systems of linear equations by minimized iterations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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GPBi‐CGstab(L): A Lanczos‐type product method unifying Bi‐CGstab(L) and GPBi‐CG
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Preconditioning for accurate solutions of ill‐conditioned linear systems
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Shifted LOPBiCG( ℓ for Solving Nonsymmetric Shifted Linear Systems
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Methodological Developments
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On Lanczos-Type Methods for Wilson Fermions
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Maintaining convergence properties of BiCGstab methods in finite precision arithmetic
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Templates for linear algebra problems
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Variants of residual smoothing with a small residual gap
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Variants of the groupwise update strategy for short-recurrence Krylov subspace methods
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One-Dimensional Finite Element Method Solution of a Class of Integro-Differential Equations: Application to Non-Fickian Transport in Disordered Media
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Mixed-precision conjugate gradient algorithm using the groupwise update strategy
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An overview of approaches for the stable computation of hybrid BiCG methods
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Generalized conjugate gradient squared
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Communication-hiding pipelined BiCGSafe methods for solving large linear systems
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Bi-CGSTAB as an induced dimension reduction method
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BiCGStab, VPAStab and an adaptation to mildly nonlinear systems
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VPAStab( J,L ): An iterative method with look-ahead for the solution of large sparse linear systems
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A variant of IDRstab with reliable update strategies for solving sparse linear systems
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ML( n )BiCGStabt: A ML( n )BiCGStab variant with A -transpose
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