分式线性递归关系的研究

Research on Fractional Linear Recursive Relations

用递归关系的不动点变换研究了分式线性递归数列与等差数列、等比数列的关系,并讨论了分式线性递归数列的收敛性。最后,给出了一种求分式线性递归数列通项的简易方法。

The fixed point transformation of recursive relation is used to study the relations among fractional linear recursive sequence,arithmetic sequence and proportional sequence.The convergence of fractional linear recursive sequence is discussed.Finally,a simple method to find the general term of fractional linear recursive sequence is given.