Is modified PSD equivalent to modified SOR for two-cyclic matrices?

DOI10.1016/j.laa.2009.12.016zbMath1200.65023OpenAlexW2083671380MaRDI QIDQ967498

M. A. Louka, Nikolaos M. Missirlis, F. I. Tzaferis

Publication date: 29 April 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.016

zbMATH Keywords

linear systemsiterative methods\texttt{MATLAB}two-cyclic matrices

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 (1)

A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented linear systems

Uses Software

• Matlab

Cites Work

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• The modified preconditioned simultaneous displacement (MPSD) method
• Some recent results on the modified SOR theory
• The impact of eigenvalue locality on the convergence behavior of the PSD method for two-cyclic matrices
• A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices
• The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations
• An ad hoc SOR method
• On the convergence of the MAOR method
• A generalisation of systematic relaxation methods for consistently ordered matrices
• On the Convergence of Some Generalized Preconditioned Iterative Methods
• On Different Splittings and the Associated Iteration Methods
• The parallel local modified sor for nonsymmetric linear systems^∗
• The S.S.O.R. Iteration Scheme for Equations with  1 Ordering
• On the equivalence of SOR, SSOR and USSOR as applied to  1-ordered systems of linear equations

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