Abstract: | In this paper we give some sufficient conditions for the convergence of the AOR method, introduced by Hadjidimos 5], which include the ones from 1], 2], 5], 6], 7], 9], 10], 11], 12] and which show that the necessary condition given in 8] for the convergence of the AOR method is not valid. We give general conditions for the class of H-matrices, but they are not always easy to check in practice. Consequently, we give some more practical conditions concerning some subclasses of H-matrices. |