On the properties of circulant matrices involving Generalized Tribonacci and Generalized Tribonacci-Lucas numbers
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
TL;DR
This paper introduces circulant matrices based on Generalized Tribonacci and Tribonacci-Lucas numbers, and computes their spectral norms and determinants, expanding understanding of their algebraic properties.
Contribution
It defines new circulant matrices involving Generalized Tribonacci and Lucas numbers and derives their spectral norms and determinants.
Findings
Spectral norms of the matrices are computed.
Determinants of the matrices are derived.
Provides new insights into properties of these special matrices.
Abstract
In this paper, firstly, we define the Generalized Tribonacci-Lucas numbers. In addition, by also defining circulant matrices C_{n}(G) and C_{n}(S) whose entries are Generalized Tribonacci and Generalized Tribonacci-Lucas numbers, we compute spectral norms and determinants of these matrices.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Graph theory and applications · Advanced Combinatorial Mathematics