December 2024 A note on k-circulant matrices with the generalized third-order Jacobsthal numbers
Yüksel Soykan, Erkan Taşdemir
Adv. Studies: Euro-Tbilisi Math. J. 17(4): 81-101 (December 2024). DOI: 10.32513/asetmj/1932200824041

Abstract

In this study, we obtain explicit forms of the sum of entries, the maximum column sum matrix norm, the maximum row sum matrix norm, Euclidean norm, eigenvalues and determinant of k-circulant matrix with the generalized third-order Jacobsthal numbers. We also study the spectral norm of this k-circulant matrix.

Citation

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Yüksel Soykan. Erkan Taşdemir. "A note on k-circulant matrices with the generalized third-order Jacobsthal numbers." Adv. Studies: Euro-Tbilisi Math. J. 17 (4) 81 - 101, December 2024. https://doi.org/10.32513/asetmj/1932200824041

Information

Received: 16 September 2024; Accepted: 22 April 2024; Published: December 2024
First available in Project Euclid: 25 November 2024

Digital Object Identifier: 10.32513/asetmj/1932200824041

Subjects:
Primary: 11B39
Secondary: 11B83 , 11C20 , 15A18‎ , 15A60 , 15B36

Keywords: Circulant matrix , determinant , k-circulant matrix , norm , spectral norm , third-order Jacobsthal numbers , Tribonacci numbers

Rights: Copyright © 2024 Tbilisi Centre for Mathematical Sciences

Vol.17 • No. 4 • December 2024
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