Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法)
介绍了一族从三阶收敛的Halley法得到的二步法来近似Banach空间中非线性方程的解.在与Newton法收敛相同的Lipschitz条件下,通过使用一个新的递归关系,证明变形Halley法收敛,并给出了非线性算子方程的解的存在惟一性定理.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Zhejiang University Press
2003-05-01
|
| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2003.30.3.260-262 |
| _version_ | 1827303555538616320 |
|---|---|
| author | ZHANGZhen(张镇) |
| author_facet | ZHANGZhen(张镇) |
| author_sort | ZHANGZhen(张镇) |
| collection | DOAJ |
| description | 介绍了一族从三阶收敛的Halley法得到的二步法来近似Banach空间中非线性方程的解.在与Newton法收敛相同的Lipschitz条件下,通过使用一个新的递归关系,证明变形Halley法收敛,并给出了非线性算子方程的解的存在惟一性定理. |
| first_indexed | 2024-04-24T17:02:57Z |
| format | Article |
| id | doaj.art-8d61af699d8344b9b98cde8c3f842fce |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:02:57Z |
| publishDate | 2003-05-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-8d61af699d8344b9b98cde8c3f842fce2024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-05-01303260262zjup/1008-9497.2003.30.3.260-262Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法)ZHANGZhen(张镇)0 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系，浙江 杭州 310028)介绍了一族从三阶收敛的Halley法得到的二步法来近似Banach空间中非线性方程的解.在与Newton法收敛相同的Lipschitz条件下,通过使用一个新的递归关系,证明变形Halley法收敛,并给出了非线性算子方程的解的存在惟一性定理.https://doi.org/zjup/1008-9497.2003.30.3.260-262halley法二点迭代递归关系banach空间 |
| spellingShingle | ZHANGZhen(张镇) Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法) Zhejiang Daxue xuebao. Lixue ban halley法 二点迭代 递归关系 banach空间 |
| title | Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法) |
| title_full | Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法) |
| title_fullStr | Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法) |
| title_full_unstemmed | Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法) |
| title_short | Deformation of Halley method under hypotheses on the first Fréchet-derivative(在一阶Fréchet可微条件下的变形Halley法) |
| title_sort | deformation of halley method under hypotheses on the first frechet derivative 在一阶frechet可微条件下的变形halley法 |
| topic | halley法 二点迭代 递归关系 banach空间 |
| url | https://doi.org/zjup/1008-9497.2003.30.3.260-262 |
| work_keys_str_mv | AT zhangzhenzhāngzhèn deformationofhalleymethodunderhypothesesonthefirstfrechetderivativezàiyījiēfrechetkěwēitiáojiànxiàdebiànxínghalleyfǎ |