The new iterative methods for the solution of H-matrices linear equations

In [1], the modified Gauss-Seidel method with a preconditioning matrix was proposed. And the authors of [1] obtained the result that the convergence rate of the new method with a preconditioning matrix was better than that of the basic iterative method. In this paper, we proposed the new preconditioning matrix and provided the convergence theorems of the new method. Finally, numerical example shows that the convergence rate of the new iterative method is superior to the corresponding classical Gauss-Seidel method.