On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)

On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)

为了解决不可导方程的求根问题以及在实际应用方面的考虑,在韩丹夫一文收敛条件的基础上,提出了用修正的牛顿方法来解决不可导方程的求根问题,并且用优序列方法给出了收敛性理论,由于方程本身的限制,所得到的结果是线性收敛的....

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Bibliographic Details
Main Authors: JIANGDong-dong(蒋冬冬), SHENShuo(沈硕), NIWei-cai(倪伟才)
Format: Article
Language:zho
Published: Zhejiang University Press 2003-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
修正的牛顿法
不可导算子
优序列
banach空间
Online Access:https://doi.org/zjup/1008-9497.2003.30.3.256-259
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author JIANGDong-dong(蒋冬冬)
SHENShuo(沈硕)
NIWei-cai(倪伟才)
author_facet JIANGDong-dong(蒋冬冬)
SHENShuo(沈硕)
NIWei-cai(倪伟才)
author_sort JIANGDong-dong(蒋冬冬)
collection DOAJ
description 为了解决不可导方程的求根问题以及在实际应用方面的考虑,在韩丹夫一文收敛条件的基础上,提出了用修正的牛顿方法来解决不可导方程的求根问题,并且用优序列方法给出了收敛性理论,由于方程本身的限制,所得到的结果是线性收敛的.
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last_indexed 2024-04-24T17:02:49Z
publishDate 2003-05-01
publisher Zhejiang University Press
record_format Article
series Zhejiang Daxue xuebao. Lixue ban
spelling doaj.art-7b323a376b8c4c4aa874b708ccf9a11b2024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-05-01303256259zjup/1008-9497.2003.30.3.256-259On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)JIANGDong-dong(蒋冬冬)0SHENShuo(沈硕)1NIWei-cai(倪伟才)2 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系，浙江 杭州 310028) 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系，浙江 杭州 310028) 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系，浙江 杭州 310028)为了解决不可导方程的求根问题以及在实际应用方面的考虑,在韩丹夫一文收敛条件的基础上,提出了用修正的牛顿方法来解决不可导方程的求根问题,并且用优序列方法给出了收敛性理论,由于方程本身的限制,所得到的结果是线性收敛的.https://doi.org/zjup/1008-9497.2003.30.3.256-259修正的牛顿法不可导算子优序列banach空间
spellingShingle JIANGDong-dong(蒋冬冬)
SHENShuo(沈硕)
NIWei-cai(倪伟才)
On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)
Zhejiang Daxue xuebao. Lixue ban
修正的牛顿法
不可导算子
优序列
banach空间
title On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)
title_full On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)
title_fullStr On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)
title_full_unstemmed On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)
title_short On a modified Newton's method and convergence in Banach space(求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性)
title_sort on a modified newton s method and convergence in banach space 求解不可导方程的修正牛顿迭代及其在banach空间中的收敛性
topic 修正的牛顿法
不可导算子
优序列
banach空间
url https://doi.org/zjup/1008-9497.2003.30.3.256-259
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