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

Ipek A.

Applied Mathematics and Computation, vol.217, no.12, pp.6011-6012, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 217 Issue: 12
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2010.12.094
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6011-6012
  • Keywords: Circulant matrices, Fibonacci numbers, Lucas numbers, Spectral norm
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

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,n))]i,j=1n and B=[L (mod(j-i,n))]i,j=1n are established. In this new paper, we compute the spectral norms of these matrices. © 2010 Elsevier Inc. All rights reserved.