A New Method for Inner Estimation of Solution Sets to Interval Linear Systems

Abstract

For an interval system of linear equations Ax = b, we consider the problem of inner estimation of its solution set, formed by all the solutions to point systems Ax= b with A∈A and b∈b. The so-called "center approach" to the problem is developed when the inner interval box is constructed around an a priori known center point from the solution set. Determining the size of the inner box is shown to be reduced to a maximization problem for a special quasiconcave objective function.