ESTIMATES OF PARALLEL-TO-M(G)N-PARALLEL-TO 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 \\M(G)N\\ (M(G) is the Gauss-inverse of M), which are more useful than those of the well-known estimate of \\M(G)\\. 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. (C) 1997 Acad emic Press.