On domains of superior convergence of the SSOR method to that of the SOR method

DOI10.1016/0024-3795(93)90128-BzbMath0779.65018MaRDI QIDQ1260959

Apostolos Hadjidimos, Michael Neumann

Publication date: 29 August 1993

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

zbMATH Keywords

\(M\)-matricessymmetric successive overrelaxationiteration parameterSSOR methodblock SOR methoddomains of superior convergence

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (2)

Superior convergence domains for a \(p\)-cyclic SSOR majorizer ⋮ Iterative solvers ofAx = bderived from ode's numerical integration methods

Cites Work

• Convergence domains of the SSOR method for a class of generalized consistently ordered matrices
• Comparisons of regular splittings of matrices
• Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices
• p-cyclic matrices and the symmetric successive overrelaxation method
• A note on the SSOR convergence domain due to Neumaier and Varga
• Precise domains of convergence for the block SSOR method associated with p-cyclic matrices
• The Kahan S.O.R. convergence bound for nonsingular and irreducible M- matrices
• Zur Konvergenz des symmetrischen Relaxationsverfahrens
• Über reguläre Zerlegungen von Matrizen und einige Anwendungen
• Generalised consistent ordering and the optimum successive overrelaxation factor
• Unzerlegbare, nicht negative Matrizen
• Neighborhoods of Dominant Convergence for the SSOR Method
• On bounds for the convergence of the SSOR method forH-matrices
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