A Sylvester-Kac matrix type and the Laplacian controllability of half graphs

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2022-09-23 DOI:10.13001/ela.2022.6947

Milica Andelic, Carlos M. da Fonseca, E. Kılıç, Z. Stanić

引用次数: 1

Abstract

In this paper, we provide a new family of tridiagonal matrices whose eigenvalues are perfect squares. This result motivates the computation of the spectrum of a particular antibidiagonal matrix. As an application, we consider the Laplacian controllability of a particular subclass of chain graphs known as half graphs.

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Sylvester-Kac矩阵型与半图的拉普拉斯可控性

在本文中，我们提供了一个新的三对角矩阵族，其特征值是完美平方。这一结果激发了对特定反双相矩阵光谱的计算。作为一个应用，我们考虑称为半图的链图的一个子类的拉普拉斯可控性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.