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In this paper, we present new upper and lower bounds for the spectral norm of an r-circulant matrix H=Cr(Hk,0,Hk,1,Hk,2,…,Hk,n−1)Open image in new window whose entries are the generalized k-Horadam numbers. Furthermore, we obtain new formulas to calculate the eigenvalues and determinant of the matrix H.

On the norms of an r-circulant matrix with the generalized k-Horadam numbers