A note on r -circulant matrices involving generalized Narayana numbers.

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, Keleş H.

Teknik Rapor, ss.1-2, 2024

  • Yayın Türü: Diğer Yayınlar / Teknik Rapor
  • Basım Tarihi: 2024
  • Sayfa Sayıları: ss.1-2
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This article is about the relation between structured matrices and integer sequences. The authors [Appl. Math. Comput. 437, Article ID 127521, 13 p. (2023; Zbl 1510.11059)] already considered r" role="presentation">-circulant matrices containing Narayana numbers to examine this relationship. Here they obtain estimates for spectral norms and eigenvalues of r" role="presentation">-circulant matrices with entries from a Fibonacci-Narayana sequence, thus providing, for example, conditions for invertibility. There are many applications in physics, engineering, economics, signal theory and image processing for this kind of results.