Generalized consistent orderings and the accelerated overrelaxation method

DOI10.1007/BF01933716zbMath0605.65017OpenAlexW1995582780MaRDI QIDQ1083832

Yiannis G. Saridakis

Publication date: 1986

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933716

zbMATH Keywords

block accelerated overrelaxationblock Jacobi iteration matrixconsistently ordered coefficient matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (10)

A note on the eigenvalue relationship for USAOR iterative method applied to \(p\)-cyclic matrices ⋮ An algorithmic approach for the analysis of extrapolated iterative schemes applied to least-squares problems ⋮ Optimal block iterative schemes for certain large, sparse,and nonsymmetric linear systems ⋮ On exact convergence of the accelerated overrelaxation method when applied to consistently ordered systems ⋮ Convergence analysis of the preconditioned group splitting methods in boundary value problems ⋮ On the convergence of the modified accelerated overrelaxation (MAOR) method ⋮ On the modified preconditioned simultaneous displacement (m-psd) method ⋮ Successive overrelaxation (SOR) and related methods ⋮ On the analysis of the unsymmetric successive overrelaxation method when applied to p-cyclic matrices ⋮ Relationship of eigenvalues for USAOR iterative method applied to a class of \(p\)-cyclic matrices

Cites Work

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• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• On the successive over-relaxation method for cyclic operators
• Convergence theory of extrapolated iterative methods for a certain class of non-symmetric linear systems
• p-cyclic matrices and the symmetric successive overrelaxation method
• Generalised consistent ordering and the optimum successive overrelaxation factor
• On generalizations of the theory of consistent orderings for successive overrelaxation methods
• Some aspects of consistent ordering
• Some generalisations of the theory of successive over-relaxation
• Block AOR Iteration for Nonsymmetric Matrices
• Accelerated Overrelaxation Method
• On Different Splittings and the Associated Iteration Methods
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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