Optimal stretched parameters for the SOR iterative method

DOI10.1016/0377-0427(93)90026-8zbMath0797.65025OpenAlexW2139899034MaRDI QIDQ1318437

Dimitrios Noutsos

Publication date: 9 October 1994

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(93)90026-8

zbMATH Keywords

successive overrelaxationblock Jacobi matrices\(p\)-cyclic consistently orderedoptimal spectral radiioptimal stretched parameters

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (6)

Exact SOR convergence regions for a general class of \(p\)-cyclic matrices ⋮ Optimal \(p\)-cyclic SOR for complex spectra ⋮ On the convergence domains of the \(p\)-cyclic SOR ⋮ Towards the determination of the optimal \(p\)-cyclic SSOR ⋮ A Young-Eidson's type algorithm for complex \(p\)-cyclic SOR spectra ⋮ Successive overrelaxation (SOR) and related methods

Cites Work

• Over- and underrelaxation for linear systems with weakly cyclic Jacobi matrices of index p
• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• Optimal successive overrelaxation iterative methods for \(p\)-cyclic matrices
• On different classes of monoparametric stationary iterative methods for the solution of linear systems
• On the equivalence of the k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices
• The analysis of k-step iterative methods for linear systems from summability theory
• Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator
• On the convergence of monoparametrick-step iterative euler methods for the solution of linear systems
• On complex successive overrelaxation
• Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence
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