| 关于迭代数列的审敛法 |
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| 引用本文： | 张玲,刘俊芳. 关于迭代数列的审敛法[J]. 高等数学研究, 2011, 14(1): 69-72 |
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| 作者姓名： | 张玲 刘俊芳 |
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| 作者单位： | 张玲,ZHANG Ling(天津城市建设学院基础部,天津,300384);刘俊芳,LIU Jun-fang(安阳师范学院,人文管理学院,河南,安阳,455000) |
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| 摘 要： | 从迭代数列及其基本性质出发,给出单调有界定理、压缩映象原理、Cauchy收敛准则和上(下)极限四种判别迭代数列收敛的方法.
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| 关 键 词： | 迭代数列 审敛法 不动点 |
Convergence Criterions for Iteration Sequences |
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| ZHANG Ling,LIU Jun-fang. Convergence Criterions for Iteration Sequences[J]. Studies In College Mathematics, 2011, 14(1): 69-72 |
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| Authors: | ZHANG Ling LIU Jun-fang |
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| Affiliation: | 1. Basis Department, Tianjin Institute of Urban Construction, Tianjin 300384, PRC; 2. Humanity Management College, Anyang Normal University, Anyang 455000, PRC) |
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| Abstract: | Based on the basic for the convergence of iteration contraction mapping principle, criterion. properties of iteration sequences, four discrimination methods sequences are given, which are monotone bounded theorem, Cauchy＇s principle of convergence and upper（lower） limit |
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| Keywords: | iteration sequence convergence criterion fixed point |
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