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

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

Document Type : Research Article

Authors

¹ Department of Mathematics, Arak university, Arak, Iran

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

Abstract

In this paper for a given set of real or complex interval numbers

σ

satisfying special conditions, we find an interval nonnegative matrix

C

such that for each point set

δ

of given interval spectrum

σ

, there exists a point matrix

A

C

such that

δ

is its spectrum. We also study some conditions for the solution existence of the problem.

Keywords