On Circulant Matrices with Fibonacci Quaternions

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SELVİ U.

V International Conference on Mathematics and its Applications in Science and Engineering, Coimbra, Portekiz, 16 Eylül 2024, cilt.1, ss.43, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Cilt numarası: 1
  • Basıldığı Şehir: Coimbra
  • Basıldığı Ülke: Portekiz
  • Sayfa Sayıları: ss.43
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

 In literature, there exists many papers which compute determinant and some kind of norms of cir culant matrices involving some well-known number sequences. At this paper, we obtain an explicit formula for circulant matrix involving the well-known Fibonacci quaternions. Then, we compute determinants of these matrices by exploiting the set of orthogonal polynomial, Chebyshev polyno mials of the second kind. Moreover, we obtain Euclidean and Spectral norms of these matrices.