Newton Methods for Quasidifferentiable Equations and Their Convergence

被引：0
|
作者：
Y. Gao
机构：
[1] University of Shanghai for Science and Technology,School of Management
来源：
Journal of Optimization Theory and Applications | 2006年 / 131卷
关键词：
Nonsmooth equations; quasidifferential calculus; Newton methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Newton method and the inexact Newton method for solving quasidifferentiable equations via the quasidifferential are investigated. The notion of Q-semismoothness for a quasidifferentiable function is proposed. The superlinear convergence of the Newton method proposed by Zhang and Xia is proved under the Q-semismooth assumption. An inexact Newton method is developed and its linear convergence is shown.
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页码：417 / 428
页数：11
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