On some extensions of the accelerated overrelaxation (AOR) theory

DOI10.1155/S0161171282000064zbMath0497.65016MaRDI QIDQ1170861

Apostolos Hadjidimos, A. K. Yeyios

Publication date: 1982

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45013

zbMATH Keywords

accelerated overrelaxationsufficient conditions for convergence

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (13)

Extensions of the Ostrowski-Reich theorem ⋮ 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 ⋮ A selected method for the optimal parameters of the AOR iteration ⋮ A survey of AOR and TOR methods ⋮ On the optimization of an extrapolation method ⋮ An extension of the accelerated overrelaxation (AOR) theory for linear systems with Hermitian matrix ⋮ On exact convergence of the accelerated overrelaxation method when applied to consistently ordered systems ⋮ A necessary condition for the convergence of the accelerated overrelaxation (AOR) method ⋮ Semiconvergence of P-regular splittings for solving singular linear systems ⋮ A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations ⋮ Successive overrelaxation (SOR) and related methods ⋮ The matrix analogue of the scalar AOR iterative method

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