显式迭代数列的收敛性及其推广

Convergence of Iterative Sequences

本文研究分别由xn+1=f(xn),xn+1=f(xn,xn-1),及g(xn+1)=f(xn)产生的迭代数列收敛性问题,并运用构造迭代数列的方法解决一些实际问题.

In this paper, we study the convergence of iterative sequences generated by xn+1=f(xn), xn+1=f(xn,xn-1), and g(xn+1)=f(xn), respectively. We also solve some practical problems based on the iterative sequences.