Smoothing Newton method for operator equations in Banach spaces

被引：0

作者：

Liu J. ^{[2
]}

Gao Y. ^{[1
]}

机构：

[1] School of Management, University of Shanghai for Science and Technology, Shanghai 200093, Jungong Road

[2] Department of Mathematics and Physics, Wuyi University, Jiangmen

来源：

Journal of Applied Mathematics and Computing | 2008年 / 28卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Generalized differential; Newton method; Nonsmooth operator equations; Optimal control; Semismoothness; Smoothing approximation;

D O I：

10.1007/s12190-008-0118-4

中图分类号：

学科分类号：

摘要：

In this paper, the global and superlinear convergence of smoothing Newton method for solving nonsmooth operator equations in Banach spaces are shown. The feature of smoothing Newton method is to use a smooth function to approximate the nonsmooth mapping. Under suitable assumptions, we prove that the smoothing Newton method is superlinearly convergent. As an application, we use the smoothing Newton method to solve a constrained optimal control problem. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：447 / 460

页数：13

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