The spectral norm and spread of g-circulant matrices involving generalized Tribonacci numbers

Abstract

In this paper, we consider a g-circulant matrix A_{g}(T), whose the
first row entries are generalized Tribonacci numbers T_{i}^{(a)}. We give an explicit formula of the spectral norm of this matrix. When g=1, we also present upper and lower bounds for the spread of the 1-circulant matrix A_{1}(T).