A new preconditioned AOR iterative method for LL-matrices

Li et al. [Y.T. Li, C. Li, S. Wu, Improvements of preconditioned AOR iterative methods for LL-matrices, J. Comput. Appl. Math. 206 (2007) 656–665] have considered the modified AOR method with a preconditioner (I+SαI+Sα). In this paper, we present a new preconditioner (I+SαβI+Sαβ) instead of (I+SαI+Sα). The comparison theorems and numerical experiments show that the proposed new method can achieve faster convergence than the preconditioner introduced by Li et al.