If X=[x1,x2,...,xn]' where x1+x2+...+xn=1.
If A1,A2,...,An are nXn square matrices, all elements are greater than 0 and less than 1.
The sum of all elements of A1 is n. It is also true for A2,...,An.
A1+A2+...+An=E, where E is a matrix of all 1s.
Now we update X by doing followings:
when t->infinite, what is X?