用共轭法求有理分式函数的迭代和迭代根  

Finding Iteration and Iterative Roots of Rational Fraction Function by Conjugate Method

作　　者：刘晓华[1] 

机构地区：[1]乐山师范学院数学与信息科学学院,四川乐山614000

出　　处：《乐山师范学院学报》2016年第4期1-7,共7页Journal of Leshan Normal University

基　　金：四川省教育厅重点科研基金项目"有理分式函数的迭代和迭代根研究"(14ZA0239)

摘　　要：迭代在动力系统和函数方程中都有涉及,然而迭代的计算是复杂的,看似简单的函数如有理分式线性函数其n次迭代不仅十分复杂,而且当较大时还会出现许多意想不到的事情。共轭相似法是求函数迭代的一种有效方法,通过此法,我们能巧妙地得到一个函数的次迭代,从而使问题化难为易。文章中,我们用共轭相似法,求出了有理分式函数的n次迭代和迭代根。Iteration is involved both in the power system and functional equation. However,iterative calculation is complicated,and the n-th order iteration of the seemingly simple functions such as rational fraction linear function is complex. Besides,there will be something unexpected when n is larger. Conjugated similar method is an effective method to find functional iteration,by using this method,the n-th order iterate of a function can be found to turn a difficult problem to an easy one. In this paper,through the conjugate similar method,the n-th order iterate of the rational fraction function and iterative roots can be found out.

关 键 词：有理分式函数 共轭相似法 迭代 迭代根 

分 类 号：O174[理学—数学]