English

On the g-Circulant Matrix involving the Generalized k-Horadam Numbers

Number Theory 2016-01-12 v2

Abstract

In this study, we present a new generalization of circulant matrices for the generalized kk-Horadam numbers, by considering the gg-circulant matrix Cn,g(H)=gcirc(Hk,1,Hk,2,,Hk,n)C_{n,g}(H)=g -circ(H_{k,1},H_{k,2},\ldots ,H_{k,n}). Also, we calculate the spectral norm, determinant and inverse of Cn,g(H)C_{n,g}(H) in such matrices having the elements of all second order sequences.

Keywords

Cite

@article{arxiv.1503.00511,
  title  = {On the g-Circulant Matrix involving the Generalized k-Horadam Numbers},
  author = {Nazmiye Yilmaz and Yasin Yazlik and Necati Taskara},
  journal= {arXiv preprint arXiv:1503.00511},
  year   = {2016}
}