| 关于线性分式的自迭代 |
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| 引用本文： | 杨延龄. 关于线性分式的自迭代[J]. 北京工商大学学报(自然科学版), 2004, 22(1): 44-47 |
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| 作者姓名： | 杨延龄 |
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| 作者单位： | 北京工商大学,基础部数学教研室,北京,100037 |
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| 摘 要： | 王雅玲[1]证明:对于任意的自然数,存在一个线性分式以它为自迭代的周期.本文将证明:这样的线性分式实际有无穷多个.然后给出具有有限的自迭代周期的线性分式的一个刻划.最后,讨论线性分式自迭代的另一个有趣现象.
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| 关 键 词： | 线性分式 自迭代 周期 矩阵 |
| 文章编号： | 1671-1513(2004)01-0044-04 |
| 修稿时间： | 2003-02-28 |
ON SELF-ITERATION OF LINEAR FRACTION |
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| YANG Yan-ling. ON SELF-ITERATION OF LINEAR FRACTION[J]. Journal of Beijing Technology and Business University:Natural Science Edition, 2004, 22(1): 44-47 |
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| Authors: | YANG Yan-ling |
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| Abstract: | Wang Ya-ling proved that for each positive integer n≥3,there is a linear fraction of period n in self-iteration. In this paper,we prove that there are infinite linear fractions of period n. Then we try to give a necessary and sufficient condition for a linear fraction to have a finite period in self-iteration. Finally,we discuss another interesting phenomenon in self-iteration of linear fraction. |
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| Keywords: | linear fraction self-iteration period matrix |
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