The General Solutions of Second Order Homogenous Matrix Difference Equations

摘要

In this paper, we discuss the problem about the expressions of the general solutions of second order homogenous matrix difference equations Xn+2 -BXn+1-AXn =0.The main results is to express the general solutions of the matrix difference equations by using one or two solutions of the characteristic equation, which improve the results of correlative reference. In the end, two concretely numerical examples are given.