On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性)
研究了不精确牛顿法的局部收敛性态.在假设非线性算子的半连续二阶Frechet导数满足变形1阶-γ条件的前提下,得到了使该方法收敛和二阶收敛性的结果以及相应的误差估计.除了以较弱的条件代替已有的较强条件外,还得到了收敛域半径的估计....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2003-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2003.30.4.393-396 |
| _version_ | 1797236334267465728 |
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| author | HUANGZheng-da(黄正达) |
| author_facet | HUANGZheng-da(黄正达) |
| author_sort | HUANGZheng-da(黄正达) |
| collection | DOAJ |
| description | 研究了不精确牛顿法的局部收敛性态.在假设非线性算子的半连续二阶Frechet导数满足变形1阶-γ条件的前提下,得到了使该方法收敛和二阶收敛性的结果以及相应的误差估计.除了以较弱的条件代替已有的较强条件外,还得到了收敛域半径的估计. |
| first_indexed | 2024-04-24T17:02:12Z |
| format | Article |
| id | doaj.art-1f457d9f95804a78802244067569dc0b |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:02:12Z |
| publishDate | 2003-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-1f457d9f95804a78802244067569dc0b2024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-07-01304393396zjup/1008-9497.2003.30.4.393-396On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性)HUANGZheng-da(黄正达)0Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系，浙江 杭州 31C028)研究了不精确牛顿法的局部收敛性态.在假设非线性算子的半连续二阶Frechet导数满足变形1阶-γ条件的前提下,得到了使该方法收敛和二阶收敛性的结果以及相应的误差估计.除了以较弱的条件代替已有的较强条件外,还得到了收敛域半径的估计.https://doi.org/zjup/1008-9497.2003.30.4.393-396不精确牛顿法frechet导数变形1阶-γ条件局部收敛性 |
| spellingShingle | HUANGZheng-da(黄正达) On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性) Zhejiang Daxue xuebao. Lixue ban 不精确牛顿法 frechet导数 变形1阶-γ条件 局部收敛性 |
| title | On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性) |
| title_full | On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性) |
| title_fullStr | On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性) |
| title_full_unstemmed | On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性) |
| title_short | On the convergence of inexact Newtwon method(不精确牛顿方法的收敛性) |
| title_sort | on the convergence of inexact newtwon method 不精确牛顿方法的收敛性 |
| topic | 不精确牛顿法 frechet导数 变形1阶-γ条件 局部收敛性 |
| url | https://doi.org/zjup/1008-9497.2003.30.4.393-396 |
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