Some properties of circulant matrices with Ducci sequences

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dc.contributor.authorSolak, Süleyman
dc.contributor.authorBahşi, Mustafa
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-16T09:15:17Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-16T09:15:17Z
dc.date.issued2018
dc.departmentEğitim Fakültesi
dc.description20th Meeting of the International-Linear-Algebra-Society (ILAS) -- JUL 11-15, 2016 -- Univ Leuven, KU Leuven, Leuven, BELGIUM
dc.descriptionWOS:000425197500028
dc.description.abstractA 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)).
dc.description.sponsorshipInt Linear Algebra Soc
dc.identifier.doi10.1016/j.laa.2017.09.010
dc.identifier.endpage568en_US
dc.identifier.issn0024-3795
dc.identifier.issn1873-1856
dc.identifier.scopusqualityQ1
dc.identifier.startpage557en_US
dc.identifier.urihttps://doi.org/10.1016/j.laa.2017.09.010
dc.identifier.urihttps://hdl.handle.net/20.500.12451/4341
dc.identifier.volume542en_US
dc.identifier.wosWOS:000425197500028
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherELSEVIER SCIENCE INC
dc.relation.ispartofLINEAR ALGEBRA AND ITS APPLICATIONS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectDucci Sequence
dc.subjectCirculant Matrix
dc.subjectNorm
dc.titleSome properties of circulant matrices with Ducci sequences
dc.typeArticle

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