Solak, SüleymanBahşi, Mustafa13.07.20192019-07-1613.07.20192019-07-1620180024-37951873-1856https://doi.org/10.1016/j.laa.2017.09.010https://hdl.handle.net/20.500.12451/434120th Meeting of the International-Linear-Algebra-Society (ILAS) -- JUL 11-15, 2016 -- Univ Leuven, KU Leuven, Leuven, BELGIUMWOS:000425197500028A 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)).eninfo:eu-repo/semantics/embargoedAccessDucci SequenceCirculant MatrixNormArticle54255756810.1016/j.laa.2017.09.010Q1WOS:000425197500028N/A