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Iterative methods for solvingAx=b, GMRES/FOM versus QMR/BiCG

https://doi.org/10.1007/bf02127693
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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4899-3442-0_30openalex-snapshot
Approximation theory and numerical linear algebra
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/bf01385846openalex-snapshot
A breakdown-free Lanczos type algorithm for solving linear systems
inferredcites →https://doi.org/10.1007/bf01731928openalex-snapshot
Arnoldi versus nonsymmetric Lanczos algorithms for solving matrix eigenvalue problems
inferredcites →https://doi.org/10.1007/bf02127693openalex-snapshot
Iterative methods for solvingAx=b, GMRES/FOM versus QMR/BiCG
inferredcites →https://doi.org/10.1007/bf02141261openalex-snapshot
BiCGstab(l) and other hybrid Bi-CG methods
inferredcites →https://doi.org/10.1016/s0304-0208(08)72647-1openalex-snapshot
A Practical Procedure for Computing Eigenvalues of Large Sparse Nonsymmetric Matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1981-0616364-6openalex-snapshot
Krylov subspace methods for solving large unsymmetric linear systems
inferredcites →https://doi.org/10.1126/science.261.5121.578openalex-snapshot
Hydrodynamic Stability Without Eigenvalues
inferredcites →https://doi.org/10.1137/0613050openalex-snapshot
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0909010openalex-snapshot
Implementation of the GMRES Method Using Householder Transformations
inferredcites →https://doi.org/10.1137/0912003openalex-snapshot
A Theoretical Comparison of the Arnoldi and GMRES Algorithms
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/10.1137/0914062openalex-snapshot
Variants of BICGSTAB for Matrices with Complex Spectrum
inferredcites →https://doi.org/10.1137/0915022openalex-snapshot
An Implementation of the QMR Method Based on Coupled Two-Term Recurrences
inferredcites →https://doi.org/10.1137/1.9780898719673openalex-snapshot
Lectures on Finite Precision Computations
inferredcites →https://doi.org/10.1137/1.9781611971538openalex-snapshot
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
inferredcites →https://doi.org/10.1137/s0895479893246765openalex-snapshot
Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems
inferredcites →https://doi.org/10.1137/s0895479894275030openalex-snapshot
Any Nonincreasing Convergence Curve is Possible for GMRES

What points at this work

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

inferred← citeshttps://doi.org/10.1002/mma.6143openalex-snapshot
Spectral collocation method for a class of fractional diffusion differential equations with nonsmooth solutions
inferred← citeshttps://doi.org/10.1002/nla.499openalex-snapshot
Recent computational developments in Krylov subspace methods for linear systems
inferred← citeshttps://doi.org/10.1007/bf01731928openalex-snapshot
Arnoldi versus nonsymmetric Lanczos algorithms for solving matrix eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s00211-005-0603-8openalex-snapshot
The effect of non-optimal bases on the convergence of Krylov subspace methods
inferred← citeshttps://doi.org/10.1007/s10543-015-0564-yopenalex-snapshot
On the convergence of Q-OR and Q-MR Krylov methods for solving nonsymmetric linear systems
inferred← citeshttps://doi.org/10.1016/j.apor.2019.03.012openalex-snapshot
Static and dynamic analyses of three-dimensional hollow concrete block revetments using polyhedral finite element method
inferred← citeshttps://doi.org/10.1016/j.camwa.2011.09.022openalex-snapshot
GMRES implementations and residual smoothing techniques for solving ill-posed linear systems
inferred← citeshttps://doi.org/10.1016/j.ecoleng.2017.05.044openalex-snapshot
Modelling forest regeneration for performance-oriented riparian buffer strips
inferred← citeshttps://doi.org/10.1109/tcyb.2019.2953564openalex-snapshot
Joint Embedding Learning and Low-Rank Approximation: A Framework for Incomplete Multiview Learning
inferred← citeshttps://doi.org/10.1137/s0895479898339013openalex-snapshot
Two-Sided Arnoldi and Nonsymmetric Lanczos Algorithms
inferred← citeshttps://doi.org/10.1137/s1064827596303661openalex-snapshot
Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions
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