The spectral norms of g-circulant matrices with classical Fibonacci and Lucas numbers entries

被引：19

作者：

Zhou, Jianwei ^{[1
]}

Jiang, Zhaolin ^{[1
]}

机构：

[1] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 233卷

关键词：

Spectral norm; g-Circulant matrix; Fibonacci number; Lucas number;

D O I：

10.1016/j.amc.2014.02.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate explicit formulae of spectral norms for g-circulant matrices and prove them in details. The entries in the first row of the g-circulant matrices are a(i) = F-i(s) and a(i) = L-i(s) (s = 1, 2). F-i and L-i denotes the Fibonacci number and Lucas number, respectively. Employing these approaches, some numerical tests are presented to verify the results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：582 / 587

页数：6

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