Communications of the
Korean Mathematical Society CKMS

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