Convergence of Newton iteration under weaker conditions(弱条件下牛顿迭代的收敛性)

Convergence of Newton iteration under weaker conditions(弱条件下牛顿迭代的收敛性)

对算子的二次导数满足的Lipschitz条件进行了讨论, 提出了一般性条件, 以使其具有普遍性. 通过使用优算子方法, 证明了Newton法在新条件下收敛, 并给出方程的解的存在惟一性定理.

Bibliographic Details
Main Authors:	ZHANGZhen(张镇), NIWei-cai(倪伟才)
Format:	Article
Language:	zho
Published:	Zhejiang University Press 2003-09-01
Series:	Zhejiang Daxue xuebao. Lixue ban
Subjects:	牛顿法优函数收敛
Online Access:	https://doi.org/zjup/1008-9497.2003.30.5.503-505

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