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Look-ahead in Bi-CGSTAB and other product methods for linear systems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-0348-6558-6openalex-snapshot
Padé-Type Approximation and General Orthogonal Polynomials
inferredcites →https://doi.org/10.1007/bf01385699openalex-snapshot
An analysis of the composite step biconjugate gradient method
inferredcites →https://doi.org/10.1007/bf01385846openalex-snapshot
A breakdown-free Lanczos type algorithm for solving linear systems
inferredcites →https://doi.org/10.1007/bf02141258openalex-snapshot
A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bf02141259openalex-snapshot
A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bf02141260openalex-snapshot
Treatment of near-breakdown in the CGS algorithm
inferredcites →https://doi.org/10.1007/bf02141917openalex-snapshot
Some vector sequence transformations with applications to systems of equations
inferredcites →https://doi.org/10.1007/bf02142321openalex-snapshot
Avoiding breakdown in the CGS algorithm
inferredcites →https://doi.org/10.1007/bf02142322openalex-snapshot
A new presentation of orthogonal polynomials with applications to their computation
inferredcites →https://doi.org/10.1007/bf02142326openalex-snapshot
Avoiding breakdown and near-breakdown in Lanczos type algorithms
inferredcites →https://doi.org/10.1007/bf02142485openalex-snapshot
The stable computation of formal orthogonal polynomials
inferredcites →https://doi.org/10.1007/bf02145381openalex-snapshot
Addendum to “Avoiding breakdown and near-breakdown in Lanczos type algorithms”
inferredcites →https://doi.org/10.1007/bf02575753openalex-snapshot
Generalisations de la transformation de shanks, de la table de Pade et de l'ε-algorithme
inferredcites →https://doi.org/10.1007/bfb0066470openalex-snapshot
Polynômes orthogonaux formels : applications
inferredcites →https://doi.org/10.1007/bfb0085577openalex-snapshot
Ensembles de suites et de procédés liés pour l'accélération de la convergence
inferredcites →https://doi.org/10.1007/s002110050015openalex-snapshot
Hybrid procedures for solving linear systems
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(83)80026-3openalex-snapshot
On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems
inferredcites →https://doi.org/10.1016/0168-9274(91)90061-4openalex-snapshot
Lanczos maximal algorithm for unsymmetric eigenvalue problems
inferredcites →https://doi.org/10.1016/0168-9274(93)90087-8openalex-snapshot
Lanczos-type algorithms for solving systems of linear equations
inferredcites →https://doi.org/10.1016/0377-0427(88)90263-4openalex-snapshot
Stieltjes- and Geronimus-type polynomials
inferredcites →https://doi.org/10.1016/0377-0427(93)90298-popenalex-snapshot
Least-squares orthogonal polynomials
inferredcites →https://doi.org/10.1016/0898-1221(91)90232-sopenalex-snapshot
Generating conjugate directions for arbitrary matrices by matrix equations I.
inferredcites →https://doi.org/10.1090/s0002-9939-1953-0054846-3openalex-snapshot
Mean Value Methods in Iteration
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0771034-2openalex-snapshot
A look-ahead Lánczos algorithm for unsymmetric matrices
inferredcites →https://doi.org/10.1137/0613037openalex-snapshot
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
inferredcites →https://doi.org/10.1137/0910004openalex-snapshot
CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
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/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1031003openalex-snapshot
Some History of the Conjugate Gradient and Lanczos Algorithms: 1948–1976
inferredcites →https://doi.org/10.1137/s0895479890188803openalex-snapshot
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
inferredcites →https://doi.org/10.6028/jres.045.026openalex-snapshot
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
inferredcites →https://doi.org/10.6028/jres.049.006openalex-snapshot
Solution of systems of linear equations by minimized iterations
inferredcites →https://doi.org/10.6028/jres.049.044openalex-snapshot
Methods of conjugate gradients for solving linear systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Use of sparse iterative methods for the resolution of three-dimensional soil/structure interaction problems
inferred← citeshttps://doi.org/10.1002/nla.499openalex-snapshot
Recent computational developments in Krylov subspace methods for linear systems
inferred← citeshttps://doi.org/10.1002/nla.70097openalex-snapshot
Iterative Solution of Forward and Adjoint Systems Using a Nonsymmetric Saddle Point Matrix With Preconditioning
inferred← citeshttps://doi.org/10.1007/978-1-4613-0261-2_8openalex-snapshot
Systems of Linear Algebraic Equations
inferred← citeshttps://doi.org/10.1007/978-3-0348-8685-7_2openalex-snapshot
Transpose-Free Look-Ahead Algorithms for Lanczos’ Method
inferred← citeshttps://doi.org/10.1007/978-94-011-0970-3_5openalex-snapshot
Breakdowns In The Computation Of Orthogonal Polynomials
inferred← citeshttps://doi.org/10.1007/bf02141260openalex-snapshot
Treatment of near-breakdown in the CGS algorithm
inferred← citeshttps://doi.org/10.1007/s100920070007openalex-snapshot
Variations on Lanczos' tridiagonalization process
inferred← citeshttps://doi.org/10.1007/s11831-007-9013-7openalex-snapshot
Advances in Iterative Methods and Preconditioners for the Helmholtz Equation
inferred← citeshttps://doi.org/10.1016/b978-0-444-50617-7.50009-4openalex-snapshot
Iterative solution of linear systems in the 20th century
inferred← citeshttps://doi.org/10.1016/j.cam.2006.02.022openalex-snapshot
BiCGStab, VPAStab and an adaptation to mildly nonlinear systems
inferred← citeshttps://doi.org/10.1016/j.cam.2009.01.006openalex-snapshot
VPAStab( J,L ): An iterative method with look-ahead for the solution of large sparse linear systems
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Efficient electrode configuration for electro-conjugate fluid flow generation with dibutyl decanedioate: Experimental and theoretical investigation
inferred← citeshttps://doi.org/10.1016/j.snb.2017.08.007openalex-snapshot
Understanding of electro-conjugate fluid flow with dibutyl decanedioate using numerical simulation—Calculating ion mobility using molecular dynamics simulation
inferred← citeshttps://doi.org/10.1016/s0024-3795(00)00102-6openalex-snapshot
On vector Hankel determinants
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00412-xopenalex-snapshot
Iterative solution of linear systems in the 20th century
inferred← citeshttps://doi.org/10.1016/s0377-0427(01)00412-5openalex-snapshot
A review of formal orthogonality in Lanczos-based methods
inferred← citeshttps://doi.org/10.1016/s0377-0427(98)00119-8openalex-snapshot
Vector sequence transformations: Methodology and applications to linear systems
inferred← citeshttps://doi.org/10.1016/s0898-1221(96)00217-9openalex-snapshot
Breakdowns in the implementation of the Lánczos method for solving linear systems
inferred← citeshttps://doi.org/10.1017/s0962492900002737openalex-snapshot
Lanczos-type solvers for nonsymmetric linear systems of equations
inferred← citeshttps://doi.org/10.1023/a:1011637511962openalex-snapshot
Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems
inferred← citeshttps://doi.org/10.1023/a:1012085428800openalex-snapshot
Transpose-free Lanczos-type algorithms for nonsymmetric linear systems
inferred← citeshttps://doi.org/10.1023/a:1014832627766openalex-snapshot
On the Vector ε-Algorithm for Solving Linear Systems of Equations
inferred← citeshttps://doi.org/10.1023/a:1019145010317openalex-snapshot
Avoiding breakdown in Van der Vorst's method
inferred← citeshttps://doi.org/10.1023/a:1025532525878openalex-snapshot
VPAStab: Stabilised Vector-Padé Approximation with Application to Linear Systems
inferred← citeshttps://doi.org/10.1137/s0895479896306744openalex-snapshot
Look-Ahead Procedures for Lanczos-Type Product Methods Based on Three-Term Lanczos Recurrences
inferred← citeshttps://doi.org/10.1137/s1064827596304812openalex-snapshot
QMR Smoothing for Lanczos-Type Product Methods Based on Three-Term Rrecurrences
inferred← citeshttps://doi.org/10.1137/s106482759631370xopenalex-snapshot
Multiparameter Iterative Schemes for the Solution of Systems of Linear and Nonlinear Equations
inferred← citeshttps://doi.org/10.11588/heidok.00017128openalex-snapshot
Electrodiffusion Models of Axon and Extracellular Space Using the Poisson-Nernst-Planck Equations
inferred← citeshttps://doi.org/10.22099/ijsts.2013.1634openalex-snapshot
A preemptive restarting approach to beating the inherent instability of Lanczos-type algorithms
inferred← citeshttps://doi.org/10.4064/am-26-1-33-62openalex-snapshot
Avoiding look-ahead in the Lanczos method and Padé approximation
inferred← citeshttps://doi.org/10.46754/jmsi.2021.12.002openalex-snapshot
HYBRID FDM-STABILIZED LANCZOS-TYPE IN SOLVING PDE PROBLEMS
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