On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number

KIZILATEŞ C., TUĞLU N.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.31, no.2, pp.555-567, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2018
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.555-567
  • Keywords: Tribonacci number, Circulant matrix, Spectral norms, UPPER BOUND ESTIMATION, R-CIRCULANT, SPECTRAL NORM, FIBONACCI
  • Gazi University Affiliated: Yes

Abstract

In this paper, we study the spectral norms of the geometric circulant matrices T-r* = Ctirc,*(T-0, T-1, . . . ,Tn-1) and the symmetric geometric circulant matrices STr* = SCirc(r)* (T-0, T-1, . . . ,Tn-1), where T-n denotes the nth Tribonacci number and r is any complex number.