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.

引用

页码：57 / 77

页数：21

共 12 条

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[J]. MATHEMATICAL PROGRAMMING, 1987, 39 (02) : 181 - 188
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