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The analysis ofk-step iterative methods for linear systems from summability theory

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

inferredcites →https://doi.org/10.1007/978-3-0348-5833-5_23openalex-snapshot
Konvergenzbeschleunigung bei Einstufigen Iterationsverfahren durch Summierungsmethoden
inferredcites →https://doi.org/10.1007/978-3-642-05156-2openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.1007/978-3-642-52767-8openalex-snapshot
Theorie der Limitierungsverfahren
inferredcites →https://doi.org/10.1007/978-3-642-88470-2openalex-snapshot
Theorie der Limitierungsverfahren
inferredcites →https://doi.org/10.1007/bf01110911openalex-snapshot
Iterationsverfahren und allgemeine Euler-Verfahren
inferredcites →https://doi.org/10.1007/bf01192402openalex-snapshot
�ber eine Verallgemeinerung der Eulerschen Reihentransformation
inferredcites →https://doi.org/10.1007/bf01386013openalex-snapshot
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods
inferredcites →https://doi.org/10.1007/bf01386014openalex-snapshot
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods
inferredcites →https://doi.org/10.1007/bf01389971openalex-snapshot
The Tchebychev iteration for nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bf01957329openalex-snapshot
On complex successive overrelaxation
inferredcites →https://doi.org/10.1007/bf02559516openalex-snapshot
Über Polynomentwicklungen im Mittag-Lefflerschen Stern Durch Anwendung der Eulerschen Reihentransformation
inferredcites →https://doi.org/10.1007/bfb0093153openalex-snapshot
Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(80)90163-9openalex-snapshot
How to embrace your spectrum for faster iterative results
inferredcites →https://doi.org/10.1016/c2013-0-11733-3openalex-snapshot
Iterative Solution of Large Linear Systems
inferredcites →https://doi.org/10.2307/2003785openalex-snapshot
Computational Methods of Linear Algebra
inferredcites →https://doi.org/10.2307/2003862openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.2307/2005542openalex-snapshot
Iterative Solution of Large Linear Systems

What points at this work

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

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Comparison between the convergence rates of the Chebyshev method and the related (2,2)-step methods
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On an SSOR matrix relationship and its consequences
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Optimal m‐stage Runge‐Kutta schemes for steady‐state solutions of hyperbolic equations
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Iterative Solution of Non-Symmetric Systems of Linear Equations
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Polynomial approximation of functions of matrices and applications
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Optimal successive overrelaxation iterative methods for P-cyclic matrices
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A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations
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On a class of Chebyshev approximation problems which arise in connection with a conjugate gradient type method
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A study of semiiterative methods for nonsymmetric systems of linear equations
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The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
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k-Step iterative methods for solving nonlinear systems of equations
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Optimum stationary and nonstationary iterative methods for the solution of singular linear systems
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On the solution of singular linear systems of algebraic equations by semiiterative methods
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On semiiterative methods generated by Faber polynomials
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Stationary and almost stationary iterative (k, l)-step methods for linear and nonlinear systems of equations
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Exact SOR convergence regions for a general class ofp-cyclic matrices
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The extrapolated first order method for solving systems with complex eigenvalues
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Optimum first and second order extrapolations of Successive Overrelaxation type methods for certain classes of matrices
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Relaxation Methods for Non-Hermitian Linear Systems
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Revisiting (k, ℓ)-step methods
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Back-averaging: An accelerated iterative method for simulating plasma diffusion
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Iterative k-step methods for computing possibly repulsive fixed points in Banach spaces
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Convergence of block iterative methods applied to sparse least-squares problems
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Richardson's iteration for nonsymmetric matrices
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Convergence of a direct-iterative method for large-scale least-squares problems
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Over- and underrelaxation for linear systems with weakly cyclic jacobi matrices of index p
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On the application of orthogonal polynomials to the iterative solution of linear systems of equations with indefinite or non-Hermitian matrices
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Some recent results on the modified SOR theory
inferred← citeshttps://doi.org/10.1016/0024-3795(91)90386-bopenalex-snapshot
The application of Leja points to Richardson iteration and polynomial preconditioning
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A parallelizable SOR-like method: Systems with plus-shaped and linear spectra
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The convergence rate of the Chebyshev sim under a perturbation of a complex line-segment spectrum
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90498-dopenalex-snapshot
On a matrix identity connecting iteration operators associated with a p-cyclic matrix
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90530-2openalex-snapshot
Fields of values and iterative methods
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Region-Dependent optimal m-stage Runge-Kutta schemes for solving a class of nonsymmetric linear systems
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Some sufficient conditions for the convergence of the method of averaging functional corrections
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On some convergence results of the k-step iterative methods
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On the convergence of the modified accelerated overrelaxation (MAOR) method
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Optimal one-stage and two-stage schemes for steady state solutions of hyperbolic equations
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A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques
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An adaptive method for solving nonsymmetric linear systems involving applications of SCPACK
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Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices
inferred← citeshttps://doi.org/10.1016/0377-0427(93)90026-8openalex-snapshot
Optimal stretched parameters for the SOR iterative method
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On different classes of monoparametric stationary iterative methods for the solution of linear systems
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On the equivalence of the k-step iterative euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices
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The relationship between the Jacobi and the successive overrelaxation (SOR) matrices of a k-cyclic matrix
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A SURVEY OF RECENT RESULTS ON ITERATIVE METHODS FOR SOLVING LARGE SPARSE LINEAR SYSTEMS
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The superiority of a new type (2,2)-step iterative method over the related Chebyshev method
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A condition for the superiority of the (2,2)-step methods over the related Chebyshev method
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It's the Matrix!
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Is a Chebyshev method optimal for an elliptic region also optimal for a nearly elliptic region?
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Optimal 2-cyclic MSOR for “bowtie” spectra and the “continuous” Manteuffel algorithm
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Optimal p-cyclic SOR for complex spectra
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A Young-Eidson's type algorithm for complex p-cyclic SOR spectra
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The Chebyshev iteration revisited
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