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

Document Type : Research Article


1 Department of Mathematics, Arak university, Arak, Iran

2 Department of Mathematics, Shahid Rajaee University, Lavizan, Tehran, Iran


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.