A method for outer interval solution of linear parametric systems (Q1826442)

An iterative method for determining interval inclusions for solutions of linear systems is developed. The linear systems which are considered have in common that the coefficients of the systems depend linearly on a finite set of parameters, which are defined over compact intervals. The interval inclusions in mind are found as interval hulls of limits of polytope sequences. These polytopes are again approximations of sets that show a rather complex structure. Tolerance analysis of linear electrical circuits gives an application of the method of the paper.