Matrices of Fibonacci Numbers
Article Sidebar
Page Numbers:
71-80
Digital Object Identifier:
10.58578/mjms.v3i1.4398
Viewed: 476 times
Downloaded: 187 times
LYAS Publisher cordially invites qualified professionals to serve as Editors or Reviewers. Your expertise will make an important contribution to maintaining and strengthening the academic quality of our publications. Interested applicants are kindly requested to complete the application form at the following link: Editors & Reviewers
Please feel free to contact us if you need any further information about the submission process or if you have any additional questions.
Authors:
Nand Kishor Kumar1, Suresh Kumar Sahani2 
Copyright :
Authors retain copyright and grant the journal right of first publication.
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.
Downloads
Article Details
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
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