Some properties of circulant matrices with Ducci sequences
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELSEVIER SCIENCE INC
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
A Ducci sequence is the sequence {X, DX, (DX)-X-2,...} generated by n-tuples X = (x(1), x(2), ..., x(n)) is an element of Z(n), where DX = D (x(1), x(2), ..., x(n)) = (vertical bar x(2) - x(1)vertical bar, vertical bar x(3) - x(2)vertical bar, ..., vertical bar x(n) - x(1)vertical bar). Equivalently, the Ducci sequence of n-vector X may be defined as {(DX)-X-k}, where k = 0,1,2,... and (DX)-X-k denotes k times iterated vector X. In this study, we examine properties of the matrix D (C-n), which results from applying the Ducci map to the rows of the circulant matrix C-n, with first row (c(0), c(1), ... c(n-1)).
Açıklama
20th Meeting of the International-Linear-Algebra-Society (ILAS) -- JUL 11-15, 2016 -- Univ Leuven, KU Leuven, Leuven, BELGIUM
WOS:000425197500028
WOS:000425197500028
Anahtar Kelimeler
Ducci Sequence, Circulant Matrix, Norm
Kaynak
LINEAR ALGEBRA AND ITS APPLICATIONS
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
542
