Determinants of Circulant Matrices with Some Certain Sequences

Year 2015, Volume: 28 Issue: 1, 59 - 63, 23.02.2015

Ercan Altınışık , Şerife Büyükköse

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=circ(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

Determinants of Circulant Matrices with Some

Abstract

References

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