递推数列x_(n+1)=f(x_n)的单调性与收敛性讨论

A Discuss on Monotonicity and Convergence of Iterative Sequences x_(n+1)=f(x_n)

利用函数单调递增对递推数列xn+1=f(xn)单调性进行讨论,在对递推数列收敛性作分析的基础上,得到使得递推数列收敛的初始迭代值的区域,讨论的方法可以用于类似问题的研究.

We use the method of function monotony increase to discuss sequence monotonicity, and gain the iterative sequence convergence district about first value. The method is useful to research parallelism problem.