Chebyshev polynomials and r-circulant matrices

被引：6

作者：

Pucanovic, Zoran ^{[1
]}

Pesovic, Marko ^{[1
]}

机构：

[1] Univ Belgrade, Fac Civil Engn, Bul Kralja Aleksandra 73, Belgrade 11120, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 437卷

关键词：

Chebyshev polynomials; r-circulant matrix; Matrix norms; Integer sequences; FIBONACCI; NORMS;

D O I：

10.1016/j.amc.2022.127521

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper connects two attractive topics in applied mathematics, r-circulant matrices and the Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials of the first or second kind are considered. Then, estimates for spectral norm bounds of such matrices are presented. The relevance of the obtained results was verified by applying them to some of the previous results on r-circulant matrices involving various integer sequences. The acquired results justify the usefulness of the applied approach.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：13

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