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On generalizations of the theory of consistent orderings for successive over-relaxation 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/10.1007/978-3-642-05156-2openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.1007/bf01386005openalex-snapshot
On the successive over-relaxation method for cyclic operators
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/bf01386061openalex-snapshot
Block iterative methods for cyclically reduced matrix equations
inferredcites →https://doi.org/10.1007/bf01386062openalex-snapshot
The index of primitivity of a non-negative matrix
inferredcites →https://doi.org/10.1007/bf01386063openalex-snapshot
An application ofp-cyclic matrices, for solving periodic parabolic problems
inferredcites →https://doi.org/10.1007/bf01386075openalex-snapshot
Some generalisations of the theory of successive over-relaxation
inferredcites →https://doi.org/10.1007/bf01397969openalex-snapshot
Positive operators and an inertia theorem
inferredcites →https://doi.org/10.1007/bf01957329openalex-snapshot
On complex successive overrelaxation
inferredcites →https://doi.org/10.1063/1.3057509openalex-snapshot
Finite-Difference Methods for Partial Differential Equations
inferredcites →https://doi.org/10.1080/00401706.1962.10489999openalex-snapshot
Finite-Difference Methods for Partial Differential Equations
inferredcites →https://doi.org/10.1090/s0002-9947-1954-0059635-7openalex-snapshot
Iterative Methods for Solving Partial Difference Equations of Elliptic Type
inferredcites →https://doi.org/10.1090/s0025-5718-1950-0046149-3openalex-snapshot
Convergence rates of iterative treatments of partial differential equations
inferredcites →https://doi.org/10.1090/s0025-5718-1955-0074929-1openalex-snapshot
On the numerical solution of elliptic difference equations
inferredcites →https://doi.org/10.1090/s0025-5718-1956-0088802-7openalex-snapshot
Estimation of the relaxation factor for small mesh size
inferredcites →https://doi.org/10.1090/s0025-5718-1961-0129139-9openalex-snapshot
Symmetric successive overrelaxation in solving diffusion difference equations
inferredcites →https://doi.org/10.1090/s0025-5718-1964-0158527-2openalex-snapshot
On Convergence Criteria for the Method of Successive Over-Relaxation
inferredcites →https://doi.org/10.1090/s0025-5718-1964-0162364-2openalex-snapshot
On the Round-Off Error in the Method of Successive Over-Relaxation
inferredcites →https://doi.org/10.1090/s0025-5718-1965-0181122-7openalex-snapshot
Estimation of the Successive Over-Relaxation Factor
inferredcites →https://doi.org/10.1093/comjnl/4.1.73openalex-snapshot
The Determination of the Optimum Accelerating Factor for Successive Over-relaxation
inferredcites →https://doi.org/10.1093/comjnl/4.3.242openalex-snapshot
Iterative Methods for Linear Equations with Symmetric Positive Definite Matrix
inferredcites →https://doi.org/10.1093/comjnl/5.1.48openalex-snapshot
Note on the Line Over-relaxation Factor for Small Mesh Size
inferredcites →https://doi.org/10.1093/comjnl/6.2.193openalex-snapshot
The Extrapolated Modified Aitken Iteration Method for Solving Elliptic Difference Equations
inferredcites →https://doi.org/10.1093/comjnl/6.3.250openalex-snapshot
Eigenvectors of the Successive Over-Relaxation Process, and its Combination with Chebyshev Semi-Iteration
inferredcites →https://doi.org/10.1093/comjnl/6.3.271openalex-snapshot
An Iterative Process for Optimizing Symmetric Successive Over-Relaxation
inferredcites →https://doi.org/10.1093/comjnl/6.4.366openalex-snapshot
The S.S.O.R. Iteration Scheme for Equations with 1 Ordering
inferredcites →https://doi.org/10.1093/comjnl/7.1.72openalex-snapshot
On the equivalence of SOR, SSOR and USSOR as applied to 1-ordered systems of linear equations
inferredcites →https://doi.org/10.1093/comjnl/7.2.137openalex-snapshot
The extrapolated modified Aitken iteration method applied to 1-ordered systems of linear equations
inferredcites →https://doi.org/10.1093/comjnl/7.4.318openalex-snapshot
Estimation of the line over-relaxation Factor and Convergence Rates of an Alternating Direction Line Over-Relaxation Technique
inferredcites →https://doi.org/10.1093/comjnl/9.1.84openalex-snapshot
The Partitioning of Network Equations for Block Iteration
inferredcites →https://doi.org/10.1093/comjnl/9.2.200openalex-snapshot
A Method for Finding the Optimum Successive Over-Relaxation Parameter
inferredcites →https://doi.org/10.1137/0103003openalex-snapshot
The Numerical Solution of Parabolic and Elliptic Differential Equations
inferredcites →https://doi.org/10.1137/0104012openalex-snapshot
A Method of Block Iteration
inferredcites →https://doi.org/10.1137/0105004openalex-snapshot
A Comparison of the Successive Overrelaxation Method and Semi-Iterative Methods Using Chebyshev Polynomials
inferredcites →https://doi.org/10.1137/0108009openalex-snapshot
Simultaneous, Successive and Alternating Direction Iteration Schemes
inferredcites →https://doi.org/10.1137/0108049openalex-snapshot
Scaled Iterations and Linear Equations
inferredcites →https://doi.org/10.1137/0110052openalex-snapshot
The Generalized Overrelaxation Method for the Approximate Solution of Operator Equations in Hilbert Space
inferredcites →https://doi.org/10.1145/320964.320981openalex-snapshot
A Method of Normalized Block Iteration
inferredcites →https://doi.org/10.2307/2003741openalex-snapshot
A Survey of Numerical Analysis
inferredcites →https://doi.org/10.2307/2003862openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.2307/2312043openalex-snapshot
Finite-Difference Methods for Partial Differential 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/nme.1620270309openalex-snapshot
On an SSOR matrix relationship and its consequences
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01386419openalex-snapshot
Domains of divergence of the USSOR method applied onp-cyclic matrices
inferred← citeshttps://doi.org/10.1007/bf01739821openalex-snapshot
Exact SOR convergence regions for a general class ofp-cyclic matrices
inferred← citeshttps://doi.org/10.1007/bf01933716openalex-snapshot
Generalized consistent orderings and the Accelerated Overrelaxation method
inferred← citeshttps://doi.org/10.1007/bf02163267openalex-snapshot
A generalisation of systematic relaxation methods for consistently ordered matrices
inferred← citeshttps://doi.org/10.1007/bf02163270openalex-snapshot
Generalized consistent ordering and the optimum successive over-relaxation factor
inferred← citeshttps://doi.org/10.1007/s002110050214openalex-snapshot
Regions of exact convergence of the USSOR method applied on generalized consistently ordered matrices
inferred← citeshttps://doi.org/10.1016/0010-4655(89)90145-8openalex-snapshot
A historical overview of iterative methods
inferred← citeshttps://doi.org/10.1016/0024-3795(81)90304-9openalex-snapshot
The Kahan S.O.R. convergence bound for nonsingular and irreducible M-matrices
inferred← citeshttps://doi.org/10.1016/0024-3795(91)90370-copenalex-snapshot
Some recent results on the modified SOR theory
inferred← citeshttps://doi.org/10.1016/0024-3795(92)90389-ropenalex-snapshot
On the optimum relaxation factor associated with p-cyclic matrices
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/10.1016/0168-9274(92)90034-bopenalex-snapshot
On the convergence of the modified accelerated overrelaxation (MAOR) method
inferred← citeshttps://doi.org/10.1016/0377-0427(87)90124-5openalex-snapshot
A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00245-6openalex-snapshot
On the convergence domains of the p-cyclic SOR
inferred← citeshttps://doi.org/10.1016/0898-1221(89)90018-7openalex-snapshot
The relationship between the Jacobi and the successive overrelaxation (SOR) matrices of a k-cyclic matrix
inferred← citeshttps://doi.org/10.1016/b978-0-12-773050-9.50027-9openalex-snapshot
BIBLIOGRAPHY
inferred← citeshttps://doi.org/10.1016/j.amc.2005.03.023openalex-snapshot
Controlled over-relaxation method and the general extrapolation method
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00403-9openalex-snapshot
Numerical analysis 2000 - Vol. III: Linear algebra
inferred← citeshttps://doi.org/10.1080/00207168708803609openalex-snapshot
The extrapolated gauss-seidel methods and generally consistently ordered matrices
inferred← citeshttps://doi.org/10.1080/00207168808803660openalex-snapshot
The extrapolated gauss-seidel plus semi-iterative method for generalized consistently ordered matrices
inferred← citeshttps://doi.org/10.1080/00207169008803855openalex-snapshot
On exact convergence of the accelerated overrelaxation method when applied to consistently ordered systems
inferred← citeshttps://doi.org/10.1093/imamat/15.2.239openalex-snapshot
The Determination of Consistent Orderings for the SOR Iterative Method
inferred← citeshttps://doi.org/10.1137/0709041openalex-snapshot
Generalizations of Property A and Consistent Orderings
inferred← citeshttps://doi.org/10.1137/s0895479894267689openalex-snapshot
An Operator Relation of the Ussor and the Jacobi Iteration Matrices of a p -Cyclic Matrix
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