Determinants of Circulant Matrices with Some Certain Sequences

Abstract

Let $\{a_k\}$ be a sequence of real numbers defined by an $m$th order linear homogenous recurrence relation. In this paper we obtain a determinant formula for the circulant matrix $A=circ(a_1,a_2,\cdots ,a_n)$, providing a generalization of determinantal results in papers of Bozkurt \cite{Bozkurt}, Bozkurt and Tam \cite{BozkurtTam}, and Shen, et al. \cite{ShenCenHao}.

References in corpus (1)

• On the Determinants and Inverses of Circulant Matrices with a General Number Sequence