Improving Jacobi methods for nonnegative H-matrices linear systems

In this paper, we consider a preconditioned iterative method for solving linear system Ax = b, which is a generalization of method proposed by Zhang et al. [Y. Zhang, T.Z. Huang, X.P. Liu, Modified iterative methods for nonnegative matrices and M-matrices linear systems, Comput. Math. Appl. 50 (2005) 1587–1602], and prove its convergence for the case when A is a nonnegative H-matrix. Numerical examples are also given, which show the effectiveness of our method.