| 关于迭代函数不动点的研究 |
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| 引用本文： | 张宏志.关于迭代函数不动点的研究[J].计算数学,2002,24(1):1-8. |
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| 作者姓名： | 张宏志 |
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| 作者单位： | 黑龙江省计算中心,哈尔滨,150036 |
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| 基金项目： | 黑龙江省自然科学基金资助 |
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| 摘 要： | In this paper the following results are got 1. We prove that the order definitionwhich is given by J.F. Trawb on the iterative function is wrong. 2. A existent theorem on the repulsive point is given. 3. We give some theorems to judge a fixed point of iterative function. They all imporve the Ostrowski's theorems.
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| 关 键 词： | 迭代函数 不动点 吸引点 排斥点 阶数 |
| 修稿时间： | 1999年5月6日 |
RESEARCH ON THE FIXED POINT OF ITEATIVE FUNCTION |
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| Institution: | Zhang Hongzhi (Computation Centre, Heilongjiang Province, Haerbin, 150036) |
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| Abstract: | In this paper the following results are got: 1. We prove that the order definitionwhich is given by J.F. Trawb on the iterative function is wrong. 2. A existent theorem on the repulsive point is given. 3. We give some theorems to judge a fixed point of iterative function. They all imporve the Ostrowski's theorems. |
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| Keywords: | Iterative function Fixed point Attractive point Repulsive point |
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