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Roundoff error analysis of algorithms based on Krylov subspace methods
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-85972-4_4openalex-snapshot
A Generalized Conjugate Gradient Method for Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1016/0024-3795(80)90165-2openalex-snapshot
Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
inferredcites →https://doi.org/10.1016/0024-3795(80)90226-8openalex-snapshot
Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0777273-9openalex-snapshot
Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0613049openalex-snapshot
How Fast are Nonsymmetric Matrix Iterations?
inferredcites →https://doi.org/10.1137/0715053openalex-snapshot
A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0720023openalex-snapshot
Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
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/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1.9781611971217openalex-snapshot
Solving Least Squares Problems
inferredcites →https://doi.org/10.1145/103162.103163openalex-snapshot
What every computer scientist should know about floating-point arithmetic
inferredcites →https://doi.org/10.2118/5729-msopenalex-snapshot
Orthomin, an Iterative Method for Solving Sparse Sets of Simultaneous Linear Equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/(sici)1099-1506(199906)6:4<281::aid-nla158>3.0.co;2-bopenalex-snapshot
Ritz and harmonic Ritz values and the convergence of FOM and GMRES
inferred← citeshttps://doi.org/10.1007/bf02510248openalex-snapshot
Numerical behaviour of the modified gram-schmidt GMRES implementation
inferred← citeshttps://doi.org/10.1007/s00211-015-0759-9openalex-snapshot
Backward error analysis of the shift-and-invert Arnoldi algorithm
inferred← citeshttps://doi.org/10.1007/s002110050367openalex-snapshot
Generalized block Lanczos methods for large unsymmetric eigenproblems
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00100-7openalex-snapshot
The influence of orthogonality on the Arnoldi method
inferred← citeshttps://doi.org/10.1016/s0898-1221(04)90127-7openalex-snapshot
Theoretical and numerical comparisons of GMRES and WZ-GMRES
inferred← citeshttps://doi.org/10.1021/acs.jctc.3c00911openalex-snapshot
Approximate Exponential Integrators for Time-Dependent Equation-of-Motion Coupled Cluster Theory
inferred← citeshttps://doi.org/10.1063/1.1793952openalex-snapshot
Multiscale quantum propagation using compact-support wavelets in space and time
inferred← citeshttps://doi.org/10.1134/s1990478925010053openalex-snapshot
On the Influence of Disturbances on the Accuracy of Computing Corrections in the Krylov Subspace
inferred← citeshttps://doi.org/10.1137/050630416openalex-snapshot
Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES
inferred← citeshttps://doi.org/10.1137/060661545openalex-snapshot
A Note on GMRES Preconditioned by a Perturbed $L D L^T$ Decomposition with Static Pivoting
inferred← citeshttps://doi.org/10.1137/17m1122918openalex-snapshot
A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems
inferred← citeshttps://doi.org/10.1137/s1064827500381239openalex-snapshot
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods
inferred← citeshttps://doi.org/10.14279/depositonce-4147openalex-snapshot
Recycling Krylov subspace methods for sequences of linear systems
inferred← citeshttps://doi.org/10.2514/1.j058121openalex-snapshot
Improved Krylov Precise Time Integration Algorithm for Structural Dynamic Equations
inferred← citeshttps://doi.org/10.3390/math9111199openalex-snapshot
Analysis, Evaluation and Exact Tracking of the Finite Precision Error Generated in Arbitrary Number of Multiplications
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