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.

引用

页码：417 / 428

页数：11

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