English

On the some properties of circulant matrix with third order linear recurrent sequence

Number Theory 2019-04-19 v1

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 is third order linear recurrent sequence. 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

Cite

@article{arxiv.1406.5349,
  title  = {On the some properties of circulant matrix with third order linear recurrent sequence},
  author = {Arzu Coskun and Necati Taskara},
  journal= {arXiv preprint arXiv:1406.5349},
  year   = {2019}
}
R2 v1 2026-06-22T04:43:11.835Z