Journal of Applied Mathematics
Volume 2011 (2011), Article ID 713795, 10 pages
http://dx.doi.org/10.1155/2011/713795
Research Article

Convergence of GAOR Iterative Method with Strictly α Diagonally Dominant Matrices

Guangbin Wang, Hao Wen, and Ting Wang

Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, China

Received 11 June 2011; Revised 20 September 2011; Accepted 22 September 2011

Academic Editor: Yongkun Li

Copyright © 2011 Guangbin Wang 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

We discuss the convergence of GAOR method for linear systems with strictly α diagonally dominant matrices. Moreover, we show that our results are better than ones of Darvishi and Hessari (2006), Tian et al. (2008) by using three numerical examples.