On the circulant matrices with ducci sequences and fibonacci numbers
Yükleniyor...
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
UNIV NIS, FAC SCI MATH
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A Ducci sequence generated by A = (a(1), a(2), ..., a(n)) is an element of Z(n) is the sequence {A, DA, D(2)A, ...} where the Ducci map D : Z(n) -> Z(n) is defined by D(A) = D(a(1), a(2), ..., a(n)) = (vertical bar a(2 )- a(1)vertical bar,vertical bar a(3 )- a(2)vertical bar, ..., vertical bar a(n) - a(n-1)vertical bar,vertical bar a(n) - a(1)vertical bar). In this study, we examine some properties of the matrices C-n, DCn, (DCn)-C-2, where C-n =Circ(c(0), c(1), ..., c(n-1)) is a circulant matrix whose entries consist of Fibonacci numbers.
Açıklama
Anahtar Kelimeler
Ducci Sequence, Circulant Matrix, Norm
Kaynak
FILOMAT
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
32
Sayı
15
