On the optimum relaxation factor associated with \(p\)-cyclic matrices

DOI10.1016/0024-3795(92)90389-RzbMath0751.65020OpenAlexW2100647500WikidataQ126832470 ScholiaQ126832470MaRDI QIDQ1183202

S. Galanis, Apostolos Hadjidimos, Michael Tzoumas, Dimitrios Noutsos

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90389-r

zbMATH Keywords

\(p\)-cyclic matricesconsistently ordered matrixoptimum relaxation factorblock successive overrelaxation methodeigenvalues of the Jacobi matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (3)

Exact SOR convergence regions for a general class of \(p\)-cyclic matrices ⋮ On the convergence domains of the \(p\)-cyclic SOR ⋮ Successive overrelaxation (SOR) and related methods

Cites Work

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• 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
• Convergence of block iterative methods applied to sparse least-squares problems
• On the equivalence of the k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices
• Generalised consistent ordering and the optimum successive overrelaxation factor
• On generalizations of the theory of consistent orderings for successive overrelaxation methods
• On complex successive overrelaxation
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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