| 摘要: |
| 采用矩阵法求出分式线性函数f(x)=(ax+b)/(cx+d)的n次迭代表达式fn(x),并分别对fn(x)的周期性、单调性、不动点进行讨论. |
| 关键词: 函数迭代 分式线性函数 矩阵法 周期性 单调性 不动点 |
| DOI： |
| 投稿时间：2012-04-07 |
| 基金项目: |
|
| The Properties of a Class of Function Iteration |
|
FANG Jian-bo1, ZHONG Wei2
|
| (1.Department of Mathematics Chuxiong Normal University, Chuxiong, Yunnan, 675000, China;2.Department of Science and Technology Chuxiong Normal University, Chuxiong, Yunnan, 675000, China) |
| Abstract: |
| We find the n th iteration expression fn(x) of fraction linear function f(x)=(ax+b)/(cx+d) by using matrix method, and discuss its periodicity, monotonicity, fixed point, respectively. |
| Key words: function iteration fraction linear function matrix method periodicity monotonicity fixed point |
