A Generalization of the Regular Tribonacci-Lucas Matrix-Reference-Cited by-同舟云学术

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A Generalization of the Regular Tribonacci-Lucas Matrix

Published:2023-12-31 Issue:2 Volume:13 Page:170-186
ISSN:2146-7706
Container-title:Bitlis Eren University Journal of Science and Technology
language:
Short-container-title:

Author:

KIZILASLAN Gonca¹^ORCID,SARAL ACER Zinnet²^ORCID

Affiliation:

1. KIRIKKALE UNIVERSITY, FACULTY OF ARTS AND SCIENCES

2. KIRIKKALE ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ

Abstract

We define a generalization of a regular Tribonacci-Lucas matrix and give some factorizations by some special matrices. We find the inverse and the k-th power of the matrix. We also present several identities and a relation between an exponential of a matrix and the defined matrix.

Publisher

Bitlis Eren University Journal of Science and Technology

Subject

General Medicine

Reference32 articles.

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2. [2] M. Bayat and H. Teimoori, “Pascal -eliminated functional matrix and its property”, Linear Algebra Appl., vol. 308 no. (1-3), pp. 65-75, 2000.

3. [3] G. S. Call and D. J. Velleman, “Pascal matrices”, Amer. Math. Monthly, vol. 100, pp. 372-376, 1993.

4. [4] M. Catalani, “Identities for Tribonacci-related sequences”, arXiv:math/0209179, https://doi.org/10.48550/arXiv.math/0209179

5. [5] E. Choi, “Modular Tribonacci numbers by matrix method”, J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math., vol. 20, pp. 207-221, 2013.

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