Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2018; 33(3): 695-704

Online first article June 12, 2018      Printed July 31, 2018

https://doi.org/10.4134/CKMS.c170244

Copyright © The Korean Mathematical Society.

On the $g$-circulant matrices

Mustafa Bah\c{s}i, S\"{u}leyman Solak

Education Faculty, A. K. Education Faculty

Abstract

In this paper, firstly we compute the spectral norm of $g$-circulant matrices $C_{n,g}=g\text{-Circ}(c_0,c_1,\ldots ,c_{n-1})$, where $c_i \geq 0$ or $c_i \leq 0$ (equivalently $c_i\cdot c_j\geq 0)$. After, we compute the spectral norms, determinants and inverses of the $g$-circulant matrices with the Fibonacci and Lucas numbers.

Keywords: circulant matrix, $g$-circulant matrix, Fibonacci number, Lucas number, spectral norm, determinant, inverse

MSC numbers: 15B05, 15A60, 11B37, 11B39