On the Some Properties of Circulant Matrices with Third Order Linear Recurrent Sequences

Year 2018, Volume: 6 Issue: 1, 12 - 18, 27.04.2018

Arzu Coskun Necati Taskara

https://doi.org/10.36753/mathenot.421748

Cited By: 2

Abstract

In this paper, firstly, we give the some fundamental properties of Van Der Laan numbers. After, we define
the circulant matrices C(Z) which entries are third order linear recurrent sequences. In addition, we
compute eigenvalues, spectral norm and determinant of this matrix. Consequently, by using properties of
this sequence, we obtain the eigenvalues, norms and determinants of circulant matrices with Cordonnier,
Perrin and Van Der Laan numbers.

Keywords

Third order linear recurrent sequence, Cordonnier numbers, Perrin numbers, Van Der Laan numbers, circulant matrix

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