A derivative-free method for the system of nonlinear equations

被引：10
|
作者：
Nie, Pu-yan [1 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 03期
关键词：
generalized pattern search (GPS) method; derivative-free techniques; mesh; system of nonlinear equations;
D O I：
10.1016/j.nonrwa.2005.03.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There are many techniques to attack the system of nonlinear equations (SNE). When it is very difficult to calculate derivative or there exist no derivatives for some SNE, some approaches without derivatives are suitable. In this work, we extend generalized pattern search (GPS) approach of Torczon's to handle system of nonlinear equations. To find a trial point from current point, we test some points in a mesh consisting of several directions. In every step, some norm of the system of nonlinear equation is required to reduce. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：378 / 384
页数：7
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