On circulant matrices with Fibonacci quaternions
In literature, there exist many papers that compute determinants and some kinds of norms of circulant matrices involving some well-known number sequences. In this paper, we obtain an explicit formula for the determinant of a circulant matrix involving the well-known Fibonacci quaternions. Then, we obtain the Euclidean and spectral norms of these matrices.
Authors
- Fatih Yılmaz (ORCID: https://orcid.org/0000-0001-7873-1979)
- Seda Yamaç Akbıyık (ORCID: https://orcid.org/0000-0003-1797-674X)
- Serhat Yıldırım (ORCID: https://orcid.org/0000-0002-8398-1670)
- Umut Selvi (ORCID: https://orcid.org/0000-0003-1015-0056)
Publication Details
- Journal
- Notes on Number Theory and Discrete Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.7546/nntdm.2025.31.3.624-634
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00