Abstract
In this note we consider real interval polynomials of degree n whose roots are required to lie in the unit disc. The main result of the paper is the following. There exists a finite partition Equation pending so that when wi < w < wi+l the set of vertices of the polynomial box generating the extreme points of the corresponding value set does not depend on w. The number of vertices is 2n. An algorithm that selects vertices generating extreme points of the value sets, and a formula for the number k, are provided.
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