Inverse eigenvalue problem of interval nonnegative matrices of order 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 of C such that   δ is its spectrum. We also study some conditions for the  solution   existence of the problem.

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