Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem

Abstract

The real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix. A number of sufficient conditions for the existence of such a matrix are known. The authors gave in [11] a map of sufficient conditions establishing inclusion relations or independency relations between them. Since then new sufficient conditions for the RNIEP have appeared. In this paper we complete and update the map given in [11].

Keywords

• real nonnegative inverse eigenvalue problem
• sufficient conditions
• nonnegative matrices
• 15a29
• 15a18
• 15b51