Convergence theory of extrapolated iterative methods for a certain class of non-symmetric linear systems

DOI10.1007/BF01391419zbMath0535.65016OpenAlexW1973272337MaRDI QIDQ791275

Nikolaos M. Missirlis

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132978

zbMATH Keywords

rate of convergencenon-symmetricconsistently orderedextrapolated successive underrelaxation method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (17)

Generalized consistent orderings and the accelerated overrelaxation method ⋮ Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations ⋮ A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques ⋮ An algorithmic approach for the analysis of extrapolated iterative schemes applied to least-squares problems ⋮ Optimal block iterative schemes for certain large, sparse,and nonsymmetric linear systems ⋮ A survey of AOR and TOR methods ⋮ Optimum extrapolated method in a special case with application to sor method ⋮ On exact convergence of the accelerated overrelaxation method when applied to consistently ordered systems ⋮ optimum modified extrapolated jacobi method for some class of matrices ⋮ A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented linear systems ⋮ On the convergence of the modified accelerated overrelaxation (MAOR) method ⋮ The parallel local modified sor for nonsymmetric linear systems^∗ ⋮ Optimal parameters for 2-cyclic AOR ⋮ On the equivalence of extrapolation and Richardson's iteration and its applications ⋮ The impact of eigenvalue locality on the convergence behavior of the PSD method for two-cyclic matrices ⋮ Optimum first and second order extrapolations of successive overrelaxation type methods for certain classes of matrices ⋮ Successive overrelaxation (SOR) and related methods

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• Iterationsverfahren bei der konformen Abbildung
• The numerical calculation of high degree Lidstone splines with equidistant knots by blockunderrelaxation
• On the Convergence of Some Generalized Preconditioned Iterative Methods
• On the optimization of a two-parametric iteration method
• Accelerated Overrelaxation Method
• On Different Splittings and the Associated Iteration Methods
• Coupled Harmonic Equations, SOR, and Chebyshev Acceleration

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