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

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

The symmetric nonnegative inverse eigenvalue problem (SNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a symmetric nonnegative real matrix. A number of sufficient conditions for the existence of such a matrix are known. In this paper, in ord...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications 2017-10, Vol.530, p.344-365
Hauptverfasser: Marijuán, C., Pisonero, M., Soto, Ricardo L.
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvalues
Linear algebra
Mathematical analysis
Matrix
Matrix methods
Nonnegative matrices
Real numbers
Sufficient conditions
Symmetric nonnegative inverse eigenvalue problem
Symmetry
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The symmetric nonnegative inverse eigenvalue problem (SNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a symmetric nonnegative real 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 independence relations between them.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2017.05.023