On circulant and r-circulant matrices with Ducci sequences and Lucas numbers

dc.contributor.author	Yağmur, Tülay
dc.date.accessioned	2025-04-10T13:14:10Z
dc.date.available	2025-04-10T13:14:10Z
dc.date.issued	2024
dc.department	Sabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstract	A Ducci sequence is a sequence {S, DS, D2S, …}, where the map D: ℤn → ℤn takes each S = (s1, s2, s3, …, sn−1, sn) to (\|s1 − s2 \|, \|s2 − s3 \|, …, \|sn−1 − sn \|, \|sn − s1 \|). In this paper, we study norms of r-circulant matrices Circr (DL) and Circr (D2L), where L is an n-tuple of Lucas numbers. Then we examine some properties of circulant matrices Circ(DL) and Circ(D2L).
dc.identifier.doi	10.2298/FIL2420067Y
dc.identifier.endpage	7078
dc.identifier.issn	03545180
dc.identifier.issue	20
dc.identifier.scopus	2-s2.0-85209188198
dc.identifier.scopusquality	Q3
dc.identifier.startpage	7067
dc.identifier.uri	https://dx.doi.org/10.2298/FIL2420067Y
dc.identifier.uri	https://hdl.handle.net/20.500.12451/13000
dc.identifier.volume	38
dc.identifier.wos	001372763300001
dc.identifier.wosquality	Q3
dc.indekslendigikaynak	Scopus
dc.indekslendigikaynak	Web of Science
dc.institutionauthor	Yağmur, Tülay
dc.language.iso	en
dc.publisher	University of Nis
dc.relation.ispartof	Filomat
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Ducci Sequence
dc.subject	Lucas Number
dc.subject	Norm
dc.subject	R-circulant Matrix
dc.title	On circulant and r-circulant matrices with Ducci sequences and Lucas numbers
dc.type	Article

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