Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计)
从求解非线性方程f(x)=0的一维“牛顿类”迭代法出发，在Banach空间中建立了“牛顿类”迭代公式，用优函数的方法，建立了相应的Kantorovich定理，并给出了比牛顿迭代更好的误差估计.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2005-11-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2005.32.6.623-626 |
| _version_ | 1797236369445093376 |
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| author | ZHUJing-fen(朱静芬) HANDan-fu(韩丹夫) |
| author_facet | ZHUJing-fen(朱静芬) HANDan-fu(韩丹夫) |
| author_sort | ZHUJing-fen(朱静芬) |
| collection | DOAJ |
| description | 从求解非线性方程f(x)=0的一维“牛顿类”迭代法出发，在Banach空间中建立了“牛顿类”迭代公式，用优函数的方法，建立了相应的Kantorovich定理，并给出了比牛顿迭代更好的误差估计. |
| first_indexed | 2024-04-24T17:02:46Z |
| format | Article |
| id | doaj.art-77d2ffe22bd54466bc6507456c9b3f8c |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:02:46Z |
| publishDate | 2005-11-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-77d2ffe22bd54466bc6507456c9b3f8c2024-03-29T01:58:22ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972005-11-01326623626zjup/1008-9497.2005.32.6.623-626Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计)ZHUJing-fen(朱静芬)0HANDan-fu(韩丹夫)1Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系，浙江 杭州 310028)Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系，浙江 杭州 310028)从求解非线性方程f(x)=0的一维“牛顿类”迭代法出发，在Banach空间中建立了“牛顿类”迭代公式，用优函数的方法，建立了相应的Kantorovich定理，并给出了比牛顿迭代更好的误差估计.https://doi.org/zjup/1008-9497.2005.32.6.623-626非线性方程“牛顿类”迭代法优函数收敛性定理误差估计 |
| spellingShingle | ZHUJing-fen(朱静芬) HANDan-fu(韩丹夫) Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计) Zhejiang Daxue xuebao. Lixue ban 非线性方程 “牛顿类”迭代法 优函数 收敛性定理 误差估计 |
| title | Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计) |
| title_full | Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计) |
| title_fullStr | Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计) |
| title_full_unstemmed | Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计) |
| title_short | Convergence and error estimates of "Newton Like" method(“牛顿类”迭代的收敛性和误差估计) |
| title_sort | convergence and error estimates of newton like method 牛顿类 迭代的收敛性和误差估计 |
| topic | 非线性方程 “牛顿类”迭代法 优函数 收敛性定理 误差估计 |
| url | https://doi.org/zjup/1008-9497.2005.32.6.623-626 |
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