Sylvester-Kac矩阵型与半图的拉普拉斯可控性

Pub Date : 2022-09-23 DOI:10.13001/ela.2022.6947

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

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引用次数: 1

摘要

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

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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