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

被引：35
|
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.
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页码：6011 / 6012
页数：2
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