Function of square matrix: fA=fsm(fx,A)

Given: f(x)= function of x, and A= square matrix. Find: f(A)=function of this matrix A.

Analytical functions of any given constant square matrices have been developed for many schemes by this author. Among them, just pick up the most reliable and short approach. Surprisingly it works for many unsure cases, such as f(x)= x^x, x^x^x, exp(x)^sin(x), etc.