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

被引：9

作者：

Marijuan, C. ^{[1
]}

Pisonero, M. ^{[2
]}

Soto, Ricardo L. ^{[3
]}

机构：

[1] EI Informat, Dept Matemat Aplicada, Paseo de Belen 15, Valladolid 47011, Spain

[2] ETS Arquitectura, Dept Matemat Aplicada, Ave Salamanca 18, Valladolid 47014, Spain

[3] Univ Catolica Norte, Dept Matemat, Antofagasta, Chile

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 530卷

关键词：

Symmetric nonnegative inverse; eigenvalue problem; Sufficient conditions; Nonnegative matrices; MATRICES; REAL; COMPENSATION; CONSTRUCTION; REALIZATION; SPECTRUM;

D O I：

10.1016/j.laa.2017.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：344 / 365

页数：22

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