An algorithm for the Jordan canonical form and the transition matrix

The Jordan canonical form and transition matrix of Frobenius matrices are given by this paper. Basing on the common matrix becomes to a rational canonical form under the elementary transformation of the similar constraints, and we can get a new calculation method for solving transition matrix and using the elementary transformation of matrix to make general matrix to the Jordan canonical form. And in this paper, we give an algorithm for the Jordan canonical form and the transition matrix, these knowledge are based on Jordan canonical form and the elementary transformation under the similar constraints.