On the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers entries

被引：38

作者：

Ipek, Ahmet ^{[1
]}

机构：

[1] Mustafa Kemal Univ, Fac Art & Sci, Dept Math, Antakya, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期

关键词：

Spectral norm; Circulant matrices; Fibonacci numbers; Lucas numbers;

D O I：

10.1016/j.amc.2010.12.094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is an improving of the work [S. Solak, On the norms of circulant matrices with the Fibonacci and Lucas numbers, Appl. Math. Comp. 160 (2005), 125-132], in which the lower and upper bounds for the spectral norms of the matrices A = [F-(mod(j-i,F-n))](i,j-1)(n) and B = [L-(mod(j-i,L-n))](i,j-1)(n) are established. In this new paper, we compute the spectral norms of these matrices. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：6011 / 6012

页数：2