Mbius变换的不动点与矩阵的特征值

The fixed points of Mbius transformations and the eigenvalues of matices

利用Mbius变换的不动点方程和矩阵特征方程的共性,讨论了Mbius变换的不动点与矩阵特征值之间的密切关系,并利用Mbius变换的不动点理论,给出了二阶复矩阵对角化的一种新方法.

In this paper,using the common of the fixed point equation and the characteristic equation,the close relationship between the fixed points of Mbius transformations and the eigenvalues of Matices were discussed.According to the fixed point theorem,a new method for the second-order complex matrices diagonalization was given.