Neighborhoods of Dominant Convergence for the SSOR Method

DOI10.1137/0607061zbMath0626.65026OpenAlexW2043648138MaRDI QIDQ3030117

Michael Neumann

Publication date: 1986

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0607061

zbMATH Keywords

spectral radiussuccessive overrelaxationH-matrixJacobi iterative methodsymmetric SORdominant convergence

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Iterative numerical methods for linear systems (65F10)

Related Items (2)

Superior convergence domains for a \(p\)-cyclic SSOR majorizer ⋮ On domains of superior convergence of the SSOR method to that of the SOR method

Cites Work

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• Comparisons of regular splittings of matrices
• A note on comparison theorems for nonnegative matrices
• A survey of preconditioned iterative methods for linear systems of algebraic equations
• 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
• On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration 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
• On bounds for the convergence of the SSOR method forH-matrices

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