Solving nonlinear programming problems via a homotopy continuation method under three unbounded conditions

被引：1

作者：

Su, Menglong ^{[1
,2
]}

Hua, Qiuling ^{[2
]}

机构：

[1] Luoyang Normal Univ, Math & Informat Sci Coll, Luoyang 471022, Peoples R China

[2] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 09期

关键词：

Three unbounded conditions; Nonlinear programming problems; Homotopy continuation method;

D O I：

10.1016/j.na.2008.04.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give three unbounded conditions under which we are able to solve the nonlinear programming problems in unbounded sets by a homotopy continuation method. In addition, we also discuss their relations. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3099 / 3103

页数：5

共 4 条

[1] Allgower E. L., 1990, Numerical continuation methods, an introduction
[2] Existence of an interior pathway to a Karush-Kuhn-Tucker point of a nonconvex programming problem
Feng, GC
Lin, ZH
Yu, B
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (06) : 761 - 768
[3] Lin Zhenghua, 2002, Mathematica Numerica Sinica, V24, P405
[4] TRACKING NON-LINEAR EQUILIBRIUM PATHS BY A HOMOTOPY METHOD
WATSON, LT
HOLZER, SM
HANSEN, MC
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (11) : 1271 - 1282

← 1 →