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

Abstract

In this study, we present a new generalization of circulant matrices for the generalized $k$-Horadam numbers, by considering the $g$-circulant matrix $C_{n,g}(H)=g-circ(H_{k,1},H_{k,2},\dots ,H_{k,n})$. 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.

References in corpus (2)

• On the Norms of Circulant and $r-$Circulant Matrices With the Hyperharmonic Fibonacci Numbers
• Explicit formulae for spectral norms of circulant-type matrices with some given entries

Cited by in corpus (2)

• Salem-Zygmund Inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices
• Simple Extension of Halász's Result