arXiv 1503.005112015-03math.NT

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

Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara

英文摘要：

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

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