Determinants of Circulant Matrices with Some Certain Sequences

Authors : Ercan ALTINIŞIK, Şerife BÜYÜKKÖSE

Pages : 59-63

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Publication Date : 2015-02-23

Article Type : Other Papers

Abstract :Let {a_k} be a sequence of real numbers defined by an mth order linear homogenous recurrence relation. In this paper we obtain a determinant formula for the circulant matrix A=circinsert ignore into journalissuearticles values(a_1,a_2,...,a_n);, providing a generalization of determinantal results in papers of Bozkurt [2], Bozkurt and Tam [3], and Shen, et al. [8]. 
Keywords : circulant matrix, determinant, Fibonacci sequence, Lucas sequence, tribonacci sequence