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Improving preconditioned SOR-type iterative methods for L-matrices

2009; Wiley; Volume: 27; Issue: 5 Linguagem: Inglês

10.1002/cnm.1332

2040-7947

Mehdi Dehghan, Masoud Hajarian,

Advanced Optimization Algorithms Research

International Journal for Numerical Methods in Biomedical EngineeringVolume 27, Issue 5 p. 774-784 Communications in Numerical Methods in Engineering - Articles published in this section are of a more general engineering nature and do not necessarily have biomedical applications Improving preconditioned SOR-type iterative methods for L-matrices Mehdi Dehghan, Corresponding Author Mehdi Dehghan [email protected] Faculty of Mathematics and Computer Science, Department of Applied Mathematics, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, IranFaculty of Mathematics and Computer Science, Department of Applied Mathematics, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, IranSearch for more papers by this authorMasoud Hajarian, Masoud Hajarian Faculty of Mathematics and Computer Science, Department of Applied Mathematics, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, IranSearch for more papers by this author Mehdi Dehghan, Corresponding Author Mehdi Dehghan [email protected] Faculty of Mathematics and Computer Science, Department of Applied Mathematics, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, IranFaculty of Mathematics and Computer Science, Department of Applied Mathematics, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, IranSearch for more papers by this authorMasoud Hajarian, Masoud Hajarian Faculty of Mathematics and Computer Science, Department of Applied Mathematics, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, IranSearch for more papers by this author First published: 27 April 2011 https://doi.org/10.1002/cnm.1332Citations: 6Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Abstract The preconditioned methods are often used to accelerate the convergence of the iterative methods for solving linear system Ax=b. So far, several preconditioners have been presented and used for solving linear system Ax=b under strong assumptions on A. In this paper, we propose two new preconditioner techniques to solve L-matrices linear system and analyze their convergence properly. From the comparison theorems, we can conclude that the proposed preconditioner techniques can be applied to accelerate the convergence of the successive over-relaxation (SOR) iterative method under mild assumptions on A. Several numerical examples are presented to support the theoretical results of this paper. Copyright © 2009 John Wiley & Sons, Ltd. Citing Literature Volume27, Issue5May 2011Pages 774-784 RelatedInformation