On an Expression for the Midpoint and the Radius of the Product of Two Intervals
Günter Mayer · 2012
The paper deals with expressions for the midpoint and the radius of the product of two intervals. Based on these expressions two applications are considered: One leads to an explicit representation of the fixed point of the function [A][x] + [b] if zero is contained in the interval vector [b] but not in the interior of the entries of the interval matrix [A]. The second application proves the semi–convergence of an interval matrix [A] under certain assumptions which are not studied up to now.