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

被引：61

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.

引用

页码：2891 / 2897

页数：7

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