A method for the improvement of the convergence rates of stationary iterative schemes for the solution of complex linear systems

DOI10.1016/0377-0427(86)90234-7zbMath0624.65026OpenAlexW2078230582MaRDI QIDQ578847

George Avdelas, Alexandros Leontitsis

Publication date: 1986

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(86)90234-7

zbMATH Keywords

convergence ratesnumerical examplesconvergence accelerationpower methodcomplex linear systemsk-part splittingstationary iterative scheme

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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On different classes of monoparametric stationary iterative methods for the solution of linear systems, 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, Optimal 2-cyclic MSOR for ``bowtie spectra and the ``continuous Manteuffel algorithm, Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices, A method for the improvement of the convergence rates of stationary iterative schemes for the solution of complex linear systems, Optimum iterative methods for the solution of singular linear systems arising from the discretization of elliptic P.D.E.'s, Some recent results on the modified SOR theory

Cites Work

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