Inverse eigenvalue problem of interval nonnegative matrices of order $le 3$

Abstract

In this paper for a given set of real or complex interval numbers $sigma$ satisfying special conditions, we find an interval nonnegative matrix $C$ such that for each point set $delta$ of given interval spectrum $sigma$, there exists a point matrix $A$ of $C$ such that $delta$ is its spectrum. We also study some conditions for the solution existence of the problem.