Positive integer powers of certain complex tridiagonal matrices
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Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Tridiagonal matrices, Eigenvalues, Eigenvectors, Jordan's form, Chebyshev polynomials, Fibonacci sequence, Pell sequence
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
219
Sayı
21
