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

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Mathematical Sciences and Applications E-Notes
Volume:6 Issue:1
On the Some Properties of Circulant Matrices with Third Order Linear Recurrent Sequences

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

Authors : Arzu COSKUN, Necati TASKARA

Pages : 12-18

Doi:10.36753/mathenot.421748

View : 56 | Download : 21

Publication Date : 2018-04-27

Article Type : Research Paper

Abstract :In this paper, firstly, we give the some fundamental properties of Van Der Laan numbers. After, we define the circulant matrices Cinsert ignore into journalissuearticles values(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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