On minimizing the implicit Lagrangian for nonlinear complementarity problems under H-differentiability

被引：0
|
作者：
Tawhid, M. A. [1 ]
机构：
[1] Thompson Rivers Univ, Sch Adv Technol & Math, Dept Math & Stat, Kamloops, BC V2C 5N3, Canada
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 185卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
H-differentiability; semismooth-functions; locally lipschitzian; generalized jacobian; nonlinear complementarity problem; NCP function; merit function; regularity conditions;
D O I：
10.1016/j.amc.2006.07.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we describe H-differential of the implicit Lagrangian function. We show how, under appropriate regularity conditions on an H-differential off, minimizing the implicit Lagrangian function corresponding to f leads to a solution of the nonlinear complementarity problem. Our results give a unified treatment of such results for C-1-functions and for locally Lipschitzian functions. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：484 / 491
页数：8
相关论文
共 48 条
12345