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Convergence for a family of iterations which an avoid the computation of the second Frechet-derirative under the Lipschitz condition(避免二阶导数计值的迭代族在一阶Frechet可微条件下的收敛性)
- Source :
- Zhejiang Daxue xuebao. Lixue ban, Vol 32, Iss 6, Pp 627-630 (2005)
- Publication Year :
- 2005
- Publisher :
- Zhejiang University Press, 2005.
-
Abstract
- 介绍一族避免二阶导数计值的带两个参数的迭代法来近似Banach空间中非线性方程的解.在与Newton法收敛相同的Lipschitz条件下，通过用一个递推关系证明了此迭代族的收敛，并给出了非线性算子方程解的存在惟一性定理.
Details
- Language :
- Chinese
- ISSN :
- 10089497
- Volume :
- 32
- Issue :
- 6
- Database :
- Directory of Open Access Journals
- Journal :
- Zhejiang Daxue xuebao. Lixue ban
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.40e2538a987b488699e52a78d3dcd250
- Document Type :
- article