On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem

被引：4

作者：

Andrade, Enide ^{[1
]}

Arrieta, Luis ^{[2
]}

Manzaneda, Cristina ^{[2
]}

Robbiano, Maria ^{[2
]}

机构：

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

[2] Univ Catolica Norte, Dept Matemat, Av Angamos 0610, Antofagasta, Chile

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 590卷

关键词：

Nonnegative inverse eigenvalue problem; Nonnegative matrix; Circulant matrix; g-Circulant matrix; Permutative matrix; GUOS INDEX; REAL; CONSTRUCTION;

D O I：

10.1016/j.laa.2019.12.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A g-circulant matrix A, is defined as a matrix of order n where the elements of each row of A are identical to those of the previous row, but are moved g positions to the right and wrapped around. Using number theory, certain spectra of g-circulant real matrices are given explicitly. The obtained results are applied to Nonnegative Inverse Eigenvalue Problem to construct nonnegative, g-circulant matrices with given appropriated spectrum. Additionally, some g-circulant matrices are reconstructed from its main diagonal entries. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1 / 21

页数：21

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