摘要
对高次多项式函数这类非线性映射给出了一般 n次迭代的一个计算结果 ,还讨论了一维欧氏空间中一些非多项式型映射的迭代 .在二维欧氏空间中 ,我们给出了几类特殊的非线性迭代的结果 .对于一些难以精确计算迭代表达式的映射 ,我们给出了其迭代的估计 .
This paper is devoted to computation and estimation of the general iteration. Firstly, one-dimensional maps in polynomial form are considered. Some other special nonlinear maps on R and their iteration are also investigated. Our work is further extended to R 2 for iteration of two-dimensional maps in special forms. Methods are given to estimate iteration of functions which may not be increasing.
出处
《数学的实践与认识》
CSCD
北大核心
2004年第4期170-176,共7页
Mathematics in Practice and Theory
关键词
迭代
共轭
特征根
差分方程
iteration
conjugacy
characteristic root
difference equation
