Spectral norm, Eigenvalues and Determinant of Circulant Matrix involving the Generalized \(k\)-Horadam numbers

Y. Yazlik1, N. Taskara1
1Selcuk University, Science Faculty, Department of Mathematics, 42075, Campus, Konya, Turkey

Abstract

In this paper, firstly, we define the generalized \(k\)-Horadam sequence and investigate some of its properties. In addition, by also defining the circulant matrix \(C_n(H)\) whose entries are the generalized \(k\)-Horadam numbers, we compute the spectral norm, eigenvalues, and the determinant of this matrix.