Crossmark

Main Article Content


Abstract

This paper describes the matrix representation of Fibonacci numbers. The interaction between number theory and linear algebra is emphasized by the study of Fibonacci numbers using matrices. This viewpoint not only makes calculation easier, but it also reveals the sequence's underlying structural characteristics.

Keywords:
Download Full-Text PDF Direct PDF file • 4398.pdf

Share Article:

Citation Metrics:

Scopus

Downloads

Download data is not yet available.

Citation Metrics & Similar Scopus Articles

Data source Crossref
0
citations
Citation counts are source-specific and may differ because database coverage, reference matching, and update schedules are different. Counts are not added together. Crossref values represent citation links registered and matched by Crossref.
Check Secondary Documents in Scopus
Open this article in Scopus, then check the Secondary documents tab. Use Manual Citation Fallback only for counts you have verified manually.
Open in Scopus
Similar Scopus Articles
Scopus
  1. Yan Y. (2027)
    Advances in TMDs-Based Electromagnetic Wave Absorbers: From Structural Engineering to Multicomponent Synergy
    Nano Micro Letters, 19(1)
  2. Zulkifli N. (2028)
    Purification of lanthanum chloride solution through tertiary amine extraction: thermodynamic and graded assessment
    Kompleksnoe Ispolzovanie Mineralnogo Syra, 344(1), 28-37
  3. Tameem A.A. (2028)
    Biogenic Amine Determination by High-Performance Liquid Chromatography Using a Sol-Gel-Immobilized 2-Hydroxy-5-nitrobenzaldehyde-2,4-dinitro phenyl hydrazone Solid-Phase Extractant
    Kompleksnoe Ispolzovanie Mineralnogo Syra, 344(1), 46-54

Article Details

How to Cite
Kumar, N. K., & Sahani, S. K. (2024). Matrices of Fibonacci Numbers. Mikailalsys Journal of Mathematics and Statistics, 3(1), 71-80. https://doi.org/10.58578/mjms.v3i1.4398

References

Grigas. A. (2003). The Fibonacci Sequence Its History, Significance, and Manifestations in Nature. Liberty University.

Bicknell, M. (1973). A Primer for the Fibonacci Numbers. The Fibonacci Association,1-186.

Belabdelouahab. F. L. (2015). Moorish Stimulus to European Renaissance. Research Gate.

Singh. P. & Hemachandra. A. (1986). Fibonacci Numbers, Math. Ed. Siwan, 20(1),28–30.

Dasdan. A. (2018). Twelve Simple Algorithms to Compute Fibonacci Numbers, Arxiv, 1-33.

Bortner, C. W. Peterson, A. C. (2016). The History and Applications of Fibonacci Numbers. UCARE Research Products. 42. (http://digitalcommons.unl.edu/ucareresearch/42)

Falcon, S. (2011). On the κ-Lucas Numbers. Int. J. Contemp. Math.Sciences,6(21), 1039-1050.

Vorob’ev, N. N. (1961). Fibonacci Numbers. New York: Blaisdell Pub. Co.

Falcon, S. Plaza, A. (2007). On the Fibonacci k- numbers. 32,1615-1624. Science Direct,

Falcon, S. (2011). On the k-Lucas Numbers. Int. J Contemp. Math. Sciences. 6(21), 1039-1050.

E. Zeckendorf, E. (1972). Repr´esentation des nombres naturels par une somme de nombres de Fibonacci ou de nombres de Lucas, Bull. Soc. Roy. Sci. Li`ege.

Kumar, N. K. (2023). Convergence of Infinite Product by Schlomilch’s Method. Tribhuvan University Journal, 38(1), 108-118. DOI: https://doi.org./10.3126tuj.v38i01.56209

Most read articles by the same author(s)

1 2 3 > >>