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

Sözer D. M., Ipek A., Kiliçoǧlu O.

Ars Combinatoria, vol.102, pp.399-416, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 102
  • Publication Date: 2011
  • Journal Name: Ars Combinatoria
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.399-416
  • Keywords: The euclidean norm, The generalized fibonacci numbers, The generalized lucas numbers, The spectral norm
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

This paper is an extension of the work [On the norms of circulant matrices with the Fibonacci and Lucas numbers, Appl. Math, and Comp., 160 (2005), 125-132.], in which for some norms of the circulant matrices with classical Fibonacci and Lucas numbers it is obtained the lower and upper bounds. In this new paper, we generalize the results of that work.