Extrapolated diagonal and off-diagonal splitting iteration method-Reference-Cited by-同舟云学术

Extrapolated diagonal and off-diagonal splitting iteration method

Published:2022 Issue:8 Volume:36 Page:2749-2759
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Shokrpour Raheleh¹,Ebadi Ghodrat²

Affiliation:

1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

2. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran + Research Department of Computational Algorithms and Mathematical Models, University of Tabriz, Tabriz, Iran.

Abstract

Recently, Dehghan et al. presented the diagonal and off-diagonal splitting (DOS) iteration method for solving the linear systems Ax = b [3]. 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.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference19 articles.

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2. Z. H. Cao, A convergence theorem on an extrapolated iterative method and its applications, Applied Numerical Mathematics 27 (1998) 203-209.

3. M. Dehghan, M. D. Madiseh, M. Hajarian, A two-step iterative method based on diagonal and off-diagonal splitting for solving linear systems, Filomat 31:5 (2017) 1441-1452.

4. D. J. Evans, M. M. Martins, On the convegence of the extrapolated AOR method, International Journal of Computer Mathematics 43 (1992) 161-171.

5. A. Frommer, D. B. Szyld, H-splitting and two-stage iterative methods, Numerical Mathematics 63 (1992) 345-356.

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