Positive integer powers of certain complex tridiagonal matrices

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dc.contributor.authorOteles, Ahmet
dc.contributor.authorAkbulak, Mehmet
dc.date.accessioned2024-12-24T19:25:19Z
dc.date.available2024-12-24T19:25:19Z
dc.date.issued2013
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we firstly present a general expression for the entries of the rth (r is an element of N) power of a certain n-square complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain a complex factorization formula for generalized Fibonacci-Pell numbers obeying also classical Fibonacci and Pell numbers. (C) 2013 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2013.04.030
dc.identifier.endpage10455
dc.identifier.issn0096-3003
dc.identifier.issue21
dc.identifier.scopus2-s2.0-84878230366
dc.identifier.scopusqualityQ1
dc.identifier.startpage10448
dc.identifier.urihttps://doi.org/10.1016/j.amc.2013.04.030
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6346
dc.identifier.volume219
dc.identifier.wosWOS:000320592800004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectTridiagonal matrices
dc.subjectEigenvalues
dc.subjectEigenvectors
dc.subjectJordan's form
dc.subjectChebyshev polynomials
dc.subjectFibonacci sequence
dc.subjectPell sequence
dc.titlePositive integer powers of certain complex tridiagonal matrices
dc.typeArticle

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