“…For a given integer p ≥ 2 and a matrix A ∈ C n×n whose eigenvalues are in the open disk {z ∈ C : |z − 1| < 1}, the principal pth root of A exists and is denoted by A 1/p [10]. Various methods can be used to compute A 1/p ; see [2,7,8,9,10,11,12,13,14,15,18,20,23,24].…”