Journal of Applied Mathematics
Volume 2013 (2013), Article ID 850986, 7 pages
http://dx.doi.org/10.1155/2013/850986
Research Article

Modified Preconditioned GAOR Methods for Systems of Linear Equations

Xue-Feng Zhang, Qun-Fa Cui, and Shi-Liang Wu

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

Received 30 January 2013; Accepted 13 May 2013

Academic Editor: Giuseppe Marino

Copyright © 2013 Xue-Feng Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Three kinds of preconditioners are proposed to accelerate the generalized AOR (GAOR) method for the linear system from the generalized least squares problem. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned generalized AOR (PGAOR) methods is better than that of the original GAOR methods. Finally, some numerical results are reported to confirm the validity of the proposed methods.