Positive Integer Powers of One Type of Complex Tridiagonal Matrix
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Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Malaysian Mathematical Sciences Soc
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 two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations.
Açıklama
Anahtar Kelimeler
Tridiagonal matrices, eigenvalues, eigenvectors, Jordan's form, Chebyshev polynomials
Kaynak
Bulletin of The Malaysian Mathematical Sciences Society
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
37
Sayı
4
