迭代的计算与估计  

Computation and Estimation of Iteration

作　　者：金蕾[1] 周喆[1] 刘旭[1] 

机构地区：[1]四川大学数学学院,四川成都610064

出　　处：《数学的实践与认识》2004年第4期170-176,共7页Mathematics in Practice and Theory

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.

关 键 词：迭代 共轭 特征根 差分方程 

分 类 号：O241[理学—计算数学]