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.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2003-05-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
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| Online Access: | https://doi.org/zjup/1008-9497.2003.30.3.260-262 |