On the norms of r-circulant matrices with generalized bi-periodic Fibonacci numbers
Mehmet Dagli, Elif Tan, Oktay Olmez
TL;DR
This paper establishes bounds for the spectral norms of r-circulant matrices constructed from generalized bi-periodic Fibonacci numbers and explores their eigenvalues and determinants.
Contribution
It provides new bounds and analyses for spectral norms, eigenvalues, and determinants of r-circulant matrices with generalized bi-periodic Fibonacci numbers.
Findings
Derived upper and lower bounds for spectral norms.
Analyzed eigenvalues of the matrices.
Computed determinants of the matrices.
Abstract
In this paper, we give upper and lower bounds for the spectral norms of r-circulant matrices with the generalized bi-periodic Fibonacci numbers. Moreover, we investigate the eigenvalues and determinants of these matrices.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Graph theory and applications · Quasicrystal Structures and Properties