A survey of AOR and TOR methods

DOI10.1016/0377-0427(88)90340-8zbMath0662.65029OpenAlexW2029661164MaRDI QIDQ1114330

Jun Ji, Jiaoxun Kuang

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90340-8

zbMATH Keywords

convergenceiterationaccelerated overrelxation methodoptimum characterTOR methodsTwo-parameter iteration

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

A note on the eigenvalue relationship for USAOR iterative method applied to \(p\)-cyclic matrices ⋮ An error bound for the USAOR method ⋮ Convergence analysis of the parallel multisplitting TOR method ⋮ Refinement of multiparameters overrelaxation (RMPOR) method ⋮ Relationship of eigenvalues for USAOR iterative method applied to a class of \(p\)-cyclic matrices

Cites Work

• On the optimization of an extrapolation method
• Convergence theory of extrapolated iterative methods for a certain class of non-symmetric linear systems
• On the convergence of some generalized iterative methods
• The principle of extrapolation in connection with the accelerated overrelaxation method
• Generalized diagonal dominance in connection with the accelerated overrelaxation (AOR) method
• On some extensions of the accelerated overrelaxation (AOR) theory
• On recurring theorems on diagonal dominance
• Some basic results on M-matrices in connection with the accelerated overrelaxation (AOR) method
• The extrapolated successive overrelaxation (ESOR) method for consistently ordered matrices
• Optimum Accelerated Overrelaxation (AOR) Method for Systems with Positive Definite Coefficient Matrix
• Extrapolated Iterative Methods for Linear Systems Approximation
• Simple and optimal extrapolations for first order iterations
• The optimal solution of the extrapolation problem of a first order scheme
• On the generalisation of the basic iterative methods for the solution of linear systems
• The Generalized Accelerated Symmetric Overrelaxation Method
• Optimum Accelerated Overrelaxation Method in a Special Case
• On an Accelerated Overrelaxation Iterative Method for Linear Systems With Strictly Diagonally Dominant Matrix
• On the Convergence of Some Generalized Preconditioned Iterative Methods
• How to improve on the convergence rates of a first order scheme
• Note on Irreducible Diagonally Dominant Matrices and the Convergence of the AOR Iterative Method
• On the optimization of a two-parametric iteration method
• Accelerated Overrelaxation Method
• On Different Splittings and the Associated Iteration Methods
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