On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers

被引：64
|
作者：
Shen, Shouqiang [1 ]
Cen, Jianmiao [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 10期
关键词：
Fibonacci number; Lucas number; r-Circulant matrix; Norm;
D O I：
10.1016/j.amc.2010.03.140
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have found upper and lower bounds for the spectral norms of r-circulant matrices in the forms A = C-r(F-0, F-1,..., F-n (1)), B = C-r(L-0, L-1,..., L-n (1)), and we have obtained some bounds for the spectral norms of Kronecker and Hadamard products of A and B matrices. (C) 2010 Elsevier Inc. All rights reserved.
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页码：2891 / 2897
页数：7
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