Convergence of the preconditioned AOR method for irreducible L-matrices

In this paper, we first point out some errors in a recent article by Li et al. [Y. Li, C. Li, S. Wu, Improving AOR method for consistent linear systems, Appl. Math. Comput. 186 (2007) 379-388], and then we provide some correct results for convergence of the preconditioned AOR method for irreducible L-matrices. Lastly, we provide numerical experiments to illustrate the theoretical results.