On the norms of r-circulant matrices involving balancing and Lucas-balancing numbers
In this article, we investigate the r-circulant matrices B[r] and C[r] involving the balancing and Lucas-balancing numbers respectively with arithmetic indices. For matrices B[r] and C[r], we establish the direct formula for the eigenvalues, the determinant, the Euclidean norm and the bound for the spectral norm.
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