On Circulant Matrices with Fibonacci Quaternions

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Selvi U.

V International Conference on Mathematics and its Applications in Science and Engineering, Coimbra, Portugal, 16 - 18 September 2024

  • Publication Type: Conference Paper / Unpublished
  • City: Coimbra
  • Country: Portugal
  • Ankara Haci Bayram Veli University Affiliated: Yes

Abstract

 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.