Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem-Reference-Cited by-同舟云学术

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

Published:2019-01-01 Issue:1 Volume:7 Page:246-256
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Marijuán C.¹,Pisonero M.²,Soto Ricardo L.³

Affiliation:

1. Dpto. Matemática Aplicada , E.T.S.I. Informática, Paseo de Belén 15, 47011 - Valladolid , Spain

2. Dpto. Matemática Aplicada , E.T.S. de Arquitectura , Avenida de Salamanca 18, 47014 - Valladolid , Spain

3. Dpto. de Matemáticas , Universidad Católica del Norte , Antofagasta , Chile

Abstract

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].

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2019-0018/pdf

Reference16 articles.

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3. [3] A. Borobia, J. Moro, R. L. Soto, A unified view on compensation criteria in the real nonnegative inverse eigenvalue problem, Linear Algebra Appl. 428 (2008) 2574-2584.

4. [4] A. Brauer, Limits for the characteristic roots of a matrix, IV: Applications to stochastic matrices, Duke Math. J. 19 (1952) 75-91.

5. [5] R. Ellard, H. Šmigoc, Connecting sufficient conditions for the symmetric nonnegative inverse eigenvalue problem, Linear Algebra Appl. 498 (2016), 521-552.

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