“…Various numerical schemes such as the Euler scheme, walk on sphere schemes and walk on rectangles schemes are considered in [1]. In [4], Li and Wang considered a family of Perron-like matrices and investigated the principal eigenvalues and the associated generalized eigen-spaces via polynomial approximations of matrix exponentials. For some closely-related developments on the computation of eigen-pairs for matrices, we refer to [5,6,7,8,9,10,12,13,14,15] and the references therein for more extensive discussions.…”