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不动点迭代法收敛定理的一个新证明
引用本文:温新苗,黄红芳.不动点迭代法收敛定理的一个新证明[J].天水师范学院学报,2009,29(2):21-22.
作者姓名:温新苗  黄红芳
作者单位:张家口教育学院,数学系,河北,张家口,075000
摘    要:利用Banach不动点定理证明了计算方法中的不动点迭代法收敛定理,并通过证明得出两个重要的推论。

关 键 词:不动点  完备  迭代  收敛

A New Proof of Fixed-point Iteration Method of Convergence Theorem
Wen Xinmiao,Huang Hongfang.A New Proof of Fixed-point Iteration Method of Convergence Theorem[J].Journal of Tianshui Normal University,2009,29(2):21-22.
Authors:Wen Xinmiao  Huang Hongfang
Institution:1. School of Mathematics, Capital Normal University, Beijing 100048, China; 2. Department of Mathematics, Zhang Jiakou Educational College, Zhang Jiakou Hebei 075000, China)
Abstract:It proved the convergence theorem of fixed-point iteration in calculating method method by Banach fixed-point theorem and educed two important inferences in this paper.
Keywords:fixed-point  completion  iteration  convergence
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