An approximate Newton method for solving non-smooth equations with infinite max functions

被引：0
|
作者：
Smietanski, Marek J. [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2011年 / 88卷 / 11期
关键词：
non-smooth equation; semismooth function; weak consistently approximated Jacobian; difference approximation; superlinear convergence; SUPERLINEAR CONVERGENCE;
D O I：
10.1080/00207160.2010.541451
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new version of an approximate Newton method for solving non-smooth equations with infinite max function is presented. This method uses a difference approximation of the generalized Jacobian based on a weak consistently approximated Jacobian. Numerical example is reported for the generalized Newton method using two versions of approximation.
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页码：2403 / 2414
页数：12
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