Extrapolated diagonal and off-diagonal splitting iteration method

R. Shokrpour, ghodrat Ebadi

Abstract


Recently, Dehghan et al. presented the diagonal and off-diagonal splitting (DOS) iteration method for solving the linear systems $\mathcal{A}x=b$ \cite{m-2017}. In this paper, we improve its convergence rate
with extrapolation. Also convergence analysis of extrapolated DOS
(EDOS) iterative method is studied by giving an upper bound of the
extrapolation parameter, then consistency of EDOS and its optimal
extrapolation parameter are discussed. Finally, several numerical
examples are given to show the efficiency of the presented method.


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