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2021•arXiv (Cornell University)Open access

On the norms of r-circulant matrices with generalized bi-periodic Fibonacci numbers

Mehmet Daǧlı, Elif Tan, Oktay Ölmez

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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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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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Available 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.

Key concepts: Fibonacci number, Circulant matrix, Mathematics, Fibonacci polynomials, Eigenvalues and eigenvectors, Combinatorics, Lucas number, Pisano period

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