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

Sözer D. M., Ipek A., Kiliçoǧlu O.

Ars Combinatoria, cilt.102, ss.399-416, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 102
  • Basım Tarihi: 2011
  • Dergi Adı: Ars Combinatoria
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.399-416
  • Anahtar Kelimeler: The euclidean norm, The generalized fibonacci numbers, The generalized lucas numbers, The spectral norm
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

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.