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Inexact Newton Methods for singular problems*

 

作者: C. T. Kelley,   Z. Q. Xue,  

 

期刊: Optimization Methods and Software  （Taylor Available online 1993）
卷期: Volume 2, issue 3-4  

页码: 249-267

 

ISSN:1055-6788

 

年代: 1993

 

DOI:10.1080/10556789308805545

 

出版商: Gordon and Breach Science Publishers

 

关键词: Inexact Newton method;singular nonlinear equation;simple fold;acceleration of convergence

 

数据来源: Taylor

 

摘要:

In this paper we describe the effects of an inexact implementation of Newton's method on the behavior of the iteration for certain nonlinear equations in Banach space for which the Fréchet derivative is singular at the solution. We give a termination criterion for the inner iteration that preserves not only the q-linear convergence of the Newton iterates but also the fine structure required for an acceleration method.

 

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