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

Abstract

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