The spectral norms of g-circulant matrices with classical Fibonacci and Lucas numbers entries

摘要

In this paper, we investigate explicit formulae of spectral norms for g-circulant matrices and prove them in details. The entries in the first row of the g-circulant matrices are a_i = F_i~s and a_i = L_i~s (s = 1, 2). Fi and Li denotes the Fibonacci number and Lucas number, respectively. Employing these approaches, some numerical tests are presented to verify the results.