- Mathematical Sciences and Applications E-Notes
- Vol: 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 : 13 | Download : 8
Publication Date : 2018-04-27
Article Type : Research
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