修正Halley法的收敛性分析及其应用

O241; 构造了一族新的三阶多点迭代法去逼近Banach空间中非线性算子方程的解.同时给出了一种新型递归关系和存在惟一性定理,且收敛阶为2+p,p∈[0,1].最后,把结果运用到Fredholm型非线性积分方程,方法适用.

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Bibliographic Details
Published in浙江大学学报(理学版) Vol. 30; no. 4; pp. 388 - 392
Main Author 蒋冬冬
Format Journal Article
LanguageChinese
Published 杭州商学院,统计与计算科学学院,浙江,杭州,310035 2003
浙江大学,数学系,浙江,杭州,310028
Subjects
先验误差界
运用
修正Halley法
多点方法
减少递归关系
Online AccessGet full text
ISSN1008-9497
DOI10.3321/j.issn:1008-9497.2003.04.008

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Abstract O241; 构造了一族新的三阶多点迭代法去逼近Banach空间中非线性算子方程的解.同时给出了一种新型递归关系和存在惟一性定理,且收敛阶为2+p,p∈[0,1].最后,把结果运用到Fredholm型非线性积分方程,方法适用.
AbstractList O241; 构造了一族新的三阶多点迭代法去逼近Banach空间中非线性算子方程的解.同时给出了一种新型递归关系和存在惟一性定理,且收敛阶为2+p,p∈[0,1].最后,把结果运用到Fredholm型非线性积分方程,方法适用.
Author 蒋冬冬
AuthorAffiliation 浙江大学,数学系,浙江,杭州,310028;杭州商学院,统计与计算科学学院,浙江,杭州,310035
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DocumentTitle_FL Analyse of convergence about modified Halley's method and its application
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运用
修正Halley法
多点方法
减少递归关系
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Publisher 杭州商学院,统计与计算科学学院,浙江,杭州,310035
浙江大学,数学系,浙江,杭州,310028
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Title 修正Halley法的收敛性分析及其应用
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