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

Producción CientíficaThe 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 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.Fondo Nacional de Desarrollo Científico y Tecnológico de Chile (project 1170313)Ministerio de Economía, Industria y Competitividad - Fondo Europeo de Desarrollo Regional (projects MTM2015-365764-C-1 / MTM2017-85996-R)Junta de Castilla y León (project VA128G18

A map of sufficient conditions for the real nonnegative inverse eigenvalue problem

AbstractThe real nonnegative inverse eigenvalue problem (RNIEP) is the problem of determining necessary and sufficient conditions for a list of real numbers Λ to be the spectrum of an entrywise nonnegative matrix. A number of sufficient conditions for the existence of such a matrix are known. In this paper, in order to construct a map of sufficient conditions, we compare these conditions and establish inclusion relations or independency relations between them