Oteles, AhmetAkbulak, Mehmet2024-12-242024-12-2420130096-3003https://doi.org/10.1016/j.amc.2013.04.030https://hdl.handle.net/20.500.12604/6346In 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.eninfo:eu-repo/semantics/closedAccessTridiagonal matricesEigenvaluesEigenvectorsJordan's formChebyshev polynomialsFibonacci sequencePell sequenceArticle219211044810455Q1WOS:000320592800004Q12-s2.0-8487823036610.1016/j.amc.2013.04.030