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 Correspondence should be addressed to Guangbin Wang, [email protected] Received 11 June 2011; Revised 20 September 2011; Accepted 22 September 2011 Academic Editor: Yongkun Li Copyright q 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. 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.