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Preconditioned modified AOR method for systems of linear equations
Author(s) -
Darvishi M. T.,
Hessari P.,
Shin ByeongChun
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1330
Subject(s) - spectral radius , relaxation (psychology) , rate of convergence , mathematics , linear system , convergence (economics) , system of linear equations , coefficient matrix , iterative method , matrix (chemical analysis) , numerical analysis , successive over relaxation , mathematical optimization , mathematical analysis , computer science , local convergence , eigenvalues and eigenvectors , physics , materials science , psychology , social psychology , computer network , channel (broadcasting) , quantum mechanics , economics , composite material , economic growth
In this paper, we present three kinds of preconditioners for preconditioned modified accelerated over‐relaxation (PMAOR) method to solve systems of linear equations. We show that the spectral radius of iteration matrix for the PMAOR method is smaller than that for modified accelerated over‐relaxation (MAOR) method including their comparison. The comparison results show that the convergence rate of the PMAOR method is better than the rate of the MAOR method. We provide some numerical results for the evidence of our method. Also we compare our numerical results with solutions by variational iteration method. Copyright © 2009 John Wiley & Sons, Ltd.