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

Abstract

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.