Determinants of Circulant Matrices with Some Certain Sequences

Abstract

Let \ak\ 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=circ(a1, a2, ·s, an), providing a generalization of determinantal results in papers of Bozkurt Bozkurt, Bozkurt and Tam BozkurtTam, and Shen, et al. ShenCenHao.

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