@article {
author = {Mohseni Moghadam, M. and Panjeh Ali Beik, Fatemeh},
title = {Comparison results on the preconditioned mixed-type splitting
iterative method for M-matrix linear systems},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {2},
pages = {349-367},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditioned matrix. Comparison theorems show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than the preconditioned mixed-type splitting and AOR (SOR) iterative methods. Finally, some numerical examples are presented to illustrate the reality of our comparison theorems.},
keywords = {Linear systems,Mixed-type splitting iterative method,Preconditioned matrix,M-matrix},
url = {http://bims.iranjournals.ir/article_211.html},
eprint = {http://bims.iranjournals.ir/article_211_dc5b9e9e1b2a179a471b622100c26a58.pdf}
}