A comparison theorem of the improving Gauss-Seidel method for H-matrix and its comparison matrix

In 1997, Kohno et al. have reported that the improving modified Gauss-Seidel method, which was referred to as the IMGS method, was superior to the classical iterative methods. H-matrix is a widely used matrix. In this paper, we apply this method to H-matrix and its comparison matrix, with a more general splitting we present the corresponding convergence results and the comparison results of the spectral radius. The convergence rates are as well as compared. Some recent results are improved.