ON THE DIFFERENTIABILITY OF OPTIMAL VALUES FOR BOUNDED NONLINEAR PROGRAMS WITH EQUALITY CONSTRAINTS

作     者：FUJIWARA, O 

作者机构：Industrial Engineering and Management Division Asian Institute of Technology P.O. Box 2754 Bangkok Thailand 

出 版 物：《OPERATIONS RESEARCH LETTERS》 (运筹学快报)

年 卷 期：1984年第3卷第4期

页      面：219-224页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：U.S. Army  (DAAG 29.80-C-0041) 

主　　题：parametric programming stability of optimal solutions Morse theory 

摘      要：We consider a parametrized family of nonlinear programs where the feasible region is defined by equality constraints in a ball. The global optimal value is shown to be twice continuously differentiable over an open and dense set in the perturbation parameter space.