Realizable lists via the spectra of structured matrices

被引：7

作者：

Manzaneda, Cristina ^{[1
]}

Andrade, Enide ^{[2
]}

Robbiano, Maria ^{[1
]}

机构：

[1] Univ Catolica Norte, Fac Ciencias, Dept Matemat, Ave Angamos 0610, Antofagasta, Chile

[2] Univ Aveiro, Dept Matemat, CIDMA Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 534卷

关键词：

Permutative matrix; Symmetric matrix; Inverse eigenvalue problem; Nonnegative matrix; INVERSE EIGENVALUE PROBLEM; NONNEGATIVE MATRICES; CONSTRUCTION;

D O I：

10.1016/j.laa.2017.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A square matrix of order n with n >= 2 is called a permutative matrix or permutative when all its rows (up to the first one) are permutations of precisely its first row. In this paper, the spectra of a class of permutative matrices are studied. In particular, spectral results for matrices partitioned into 2-by-2 symmetric blocks are presented and, using these results sufficient conditions on a given list to be the list of eigenvalues of a nonnegative permutative matrix are obtained and the corresponding permutative matrices are constructed. Guo perturbations on given lists are exhibited. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：51 / 72

页数：22

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