University of GuilanJournal of Mathematical Modeling2345-394X6220181201Inverse eigenvalue problem of interval nonnegative matrices of order $\le 3$187194296210.22124/jmm.2018.10836.1171ENAlimohammadNazariDepartment of Mathematics, Arak university, Arak, Iran0000-0002-3231-0340MaryamZeinaliDepartment of Mathematics, Shahid Rajaee University, Lavizan, Tehran, IranHamidMesgaraniDepartment of Mathematics, Shahid Rajaee University, Lavizan, Tehran, IranJournal Article20180714In 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.https://jmm.guilan.ac.ir/article_2962_a486c2238c47eb581d405624d3dce8d2.pdf