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

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, Keleş H.

Technical Report, pp.1-2, 2024

  • Publication Type: Other Publication / Technical Report
  • Publication Date: 2024
  • Page Numbers: pp.1-2
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.