Estimates of 5MGN5 and Their Applications to the Convergence of Splitting Methods of Linear Interval Equations

Using the properties of diagonally dominant interval matrices defined in a previous paper, a group of conditions and criteria are given for estimating 5MGN5 MG is the Gauss-inverse of M., which are more useful than those of the well-known estimate of 5MG 5. By applying these results to the convergence of splitting methods used for solving linear interval equations such as the Jacobi, Gauss]Seidel, SOR, and regular splitting equations, we obtain some new results.