k–step Fibonacci sequences and Fibonacci matrices

dc.creator	Adam M., Assimakis N.	en
dc.date.accessioned	2023-01-31T07:30:23Z
dc.date.available	2023-01-31T07:30:23Z
dc.date.issued	2017
dc.identifier	10.1080/09720529.2015.1104929
dc.identifier.issn	09720529
dc.identifier.uri	http://hdl.handle.net/11615/70267
dc.description.abstract	In this paper, the powers of the Fibonacci matrices are investigated and closed formulas for their entries are derived, related to the suitable terms of the k− step Fibonacci sequences in order to develop the properties of the irreducibility and primitivity of the Fibonacci matrices. Some bounds for the spectral radius and the modulus of the remaining eigenvalues of the Fibonacci matrices are presented. New formulas for computing of the odd and even terms of a special Fibonacci sequence are discussed, generalizing the Cassin’s and Sharpe’s formulas. © 2017 Taru Publications.	en
dc.language.iso	en	en
dc.source	Journal of Discrete Mathematical Sciences and Cryptography	en
dc.source.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85035058632&doi=10.1080%2f09720529.2015.1104929&partnerID=40&md5=0fa96eb674e0d2abbc5d016d094e98ac
dc.subject	Eigenvalues and eigenfunctions	en
dc.subject	Number theory	en
dc.subject	Eigenvalues	en
dc.subject	Fibonacci matrices	en
dc.subject	Fibonacci numbers	en
dc.subject	Fibonacci sequences	en
dc.subject	Irreducible	en
dc.subject	Primitive	en
dc.subject	Spectral radii	en
dc.subject	Matrix algebra	en
dc.subject	Taru Publications	en
dc.title	k–step Fibonacci sequences and Fibonacci matrices	en
dc.type	journalArticle	en

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