On r-circulant matrices with generalized bi-periodic Fibonacci numbers

Dagli M., Tan E., Olmez O.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, cilt.68, sa.3, ss.2003-2014, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s12190-021-01610-0
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2003-2014
  • Anahtar Kelimeler: r-circulant matrix, Spectral norm, Fibonacci numbers, Bi-periodic Fibonacci numbers, NORMS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we calculate the Frobenius norm, and give upper and lower bounds for the spectral norm of r-circulant matrices whose entries are defined in terms of generalized bi-periodic Fibonacci numbers. We also provide explicit formulas for the computation of eigenvalues and determinants of these matrices.