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1)  iterative root
迭代根
1.
Algorithms for Iterative Roots and Iterative Equations and Their Stability;
迭代根及迭代方程的算法及稳定性
2.
Nonexistence of iterative roots of PM functions
严格逐段单调函数迭代根的不存在性
3.
The existence of decreasing roots of the conjugate function φ(f(x))=g(φ(x)) is discussed when f and g are decreasing,and the existence of iterative roots of one kind of functions which have two non-monotone points is studied.
给出了共轭方程φ(f(x))=f(φ(x))在f和g严格递减的情况下其单调递减根存在性的条件,并利用此结果研究了一类有两个非单调点的函数迭代根的存在性。
2)  iterative solution
迭代根
1.
In this paper it was obtained a necessary and sufficient condition for m-piece monotone continuous self-map F of the iterval I=[0,1]with N(F)=N(F2) to have the n-fold iterative solutions.
本文得到了区间I=[0,1]上满足N(F)=N(F2)的m段单调连续自映射F具有n阶连续迭代根的一个充要条件。
2.
A necessary and sufficient conditionf of expanding Markov surjective self maps with iterative solutions is obtained.
考虑区间上满的扩张 Markov自映射 ,给出了区间上满的扩张 Markov自映射具有指定阶的迭代根的充分必要条件 。
3.
In this paper,we discuss iterative solutions of all N type of functions (briefly: increase-decrease-increase type of function)on the interval I=[0, 1].
讨论了区间I=[0,1]上的所有N型(即增一减一增型)函数的迭代根问题。
3)  the unit iterative root
单位迭代根
1.
The form of the unit iterative root f(x)(X∈R) is generalized , that is, the form of the unit iterative root of linear transformation in R~n is discussed.
对当X∈R时单位迭代根f(x)的形式进行了推广,即探讨了在Rn中线性变换的单位迭代根的形式。
4)  Square Root Iteration
平方根迭代法
5)  oot-seeking iteration
求根迭代公式
1.
A root-seeking iteration is presented based on linear fraction function.
一种基于线性分式函数的求根迭代法黄有度摘要*本文给出一种基于线性分式函数的求根迭代公式,这是一种全局收敛的迭代方法,其收敛速率是二阶的,并具有可从方程的单根直接进行迭代的优点。
6)  multiple roots Newton iteration method
重根牛顿迭代法
补充资料:层层迭迭
1.见"层层迭迭"。
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