Generalized separation theorems and the Farkas' lemma

被引：5
|
作者：
Fan, JY [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 07期
基金：
中国国家自然科学基金;
关键词：
separation theorem; the Farkas lemma; nonlinear semidefinite programming;
D O I：
10.1016/j.aml.2004.07.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to extend the conventional separation theorems concerning the convex subset of R-m to generalized separation theorems concerning the convex subset of R-m x S-n. This is accomplished by the introduction of the generalized inner product in R-m X S-n. Then we derive the famous Farkas' lemma in nonlinear semidefinite programming, which may be very important for the analysis of the dual theory and optimality conditions of nonlinear semidefinite programming. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：791 / 796
页数：6
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