A NOTE ON r-CIRCULANT MATRICES INVOLVING GENERALIZED NARAYANA NUMBERS

被引：0

作者：

Pes, Marko ^{[1
]}

Pucanovic, Zoran ^{[1
]}

机构：

[1] Univ Belgrade, Fac Civil Engn, Dept Math, Bulevar Kralja Aleksandra 73, Belgrade 11120, Serbia

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 04期

关键词：

Narayana's cows sequence; r-circulant matrix; Euclidean and spectral norm; eigenvalues; FIBONACCI; INVERSES; DETERMINANTS; JACOBSTHAL; NORMS;

D O I：

10.7153/jmi-2023-17-84

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to further connect structured matrices and integer sequences, r -circulant matrices involving the generalized Narayana numbers are considered. Estimates for spectral norms bounds of such matrices are presented and their eigenvalues are determined. Moreover, the conditions under which the circulant matrix and the skew circulant matrix involving generalized Narayana numbers are invertible are given. In particular, it is shown that every circulant matrix with Narayana numbers is necessarily invertible.

引用

页码：1293 / 1310

页数：18

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