Convergence analysis of some new preconditioned AOR iterative methods for L-matrices

In this paper, we present a new preconditionerwhich generalizes two known preconditioners proposed byWang et al. (2009) and A. J. Li (2011), and prove that theconvergence rate of the AOR method with the new preconditioneris faster than the preconditioners introduced by Wanget al. Moreover, we propose other two new preconditioners andstudy the convergence rates of the new preconditioned AORmethods for solving linear systems. Comparison results showthat the new preconditioned AOR methods are better than thoseof the preconditioned AOR methods presented by J. H. Yun(2011) and A. J. Li (2012). Finally, numerical experiments areprovided to confirm the theoretical results studied in this paper.