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应用科学学报 ›› 1991, Vol. 9 ›› Issue (1): 29-42.

• 论文 • 上一篇    下一篇

迭代函数的构造新法

张宏志   

  1. 黑龙江省计算机应用开发研究中心
  • 收稿日期:1988-02-29 修回日期:1989-06-20 出版日期:1991-03-31 发布日期:1991-03-31

THE METHODS TO CONSTUCT THE ITERATIVE FUNCTIONS

ZHANG HONGZHI   

  1. Computer Application, Development and Research Centre, Heilongjiang Province
  • Received:1988-02-29 Revised:1989-06-20 Online:1991-03-31 Published:1991-03-31

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84

被引次数

1

摘要： 该文得到以下结果:1.点型构造定理;2.区域型构造定理;3.恒收敛型构造定理;4.一个加速公式.其特点:1.方法简单,便于应用;2.由其构造的I.F.恒收敛,且有较高的效能指数,故经济、实用;3.所述方法是新的,故为迭代函数构造理论增添了新内容.

关键词: 多点迭代函数, 单点迭代函数, 加速收敛, 阶, 计算效率

Abstract: In this paper we give the following results:
1. A point type of constructive theorem;
2. An interval type of constructive theorem;
3. A convergent type of constructive theorem;
4. An accelerative formula.
They have the following characteristics:1. these methods are simpler and more convenient than the methods which had been given; 2. the iterative functions which are constructed to use the methods are always convergent; 3. the methods are the new parts of constructive theorems on the iterative function.

Key words: accelerating convergence, iterative function of one point, cumputing efficiency, iterative function of multipoint order