A survey of AOR and TOR methods
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Publication:1114330
DOI10.1016/0377-0427(88)90340-8zbMath0662.65029OpenAlexW2029661164MaRDI QIDQ1114330
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
convergenceiterationaccelerated overrelxation methodoptimum characterTOR methodsTwo-parameter iteration
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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