AN EXTENDED CONTINUOUS NEWTON METHOD

被引：22
|
作者：
DIENER, I
SCHABACK, R
机构：
[1] Institute for Numerical and Applied Mathematics, University of Göttingen, Göttingen
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1990年 / 67卷 / 01期
关键词：
continuous Newton method; critical points; Global optimization; multiple solutions; trajectory method;
D O I：
10.1007/BF00939735
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper describes a numerical realization of an extended continuous Newton method defined by Diener. It traces a connected set of locally one-dimensional trajectories which contains all critical points of a smooth function f:ℝn→ℝ. The results show that the method is effectively applicable. © 1990 Plenum Publishing Corporation.
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页码：57 / 77
页数：21
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