矩阵理论在求分式线性递推数列通项公式中的应用

Application of matrix theory to solving the general formula of fractional linear recursive series

特殊的分式线性递推数列通项公式可用等差(比)数列知识求得,一般的分式线性递推数列通项公式可用其系数矩阵的特征值、特征向量等矩阵理论而求得。

The general formula of special fractional linear recursive series can be solved by using geometric series or arithmetic series,and the general formula of general fractional linear recursive series can be solved by using the matrix theory about egenvalues and egenvector of coefficient matrix so on.