ROLE OF COPOSITIVITY IN OPTIMALITY CRITERIA FOR NONCONVEX OPTIMIZATION PROBLEMS

被引:19
作者
DANNINGER, G
机构
[1] Department of Statistics and Computer Sciences, University of Vienna, Vienna
关键词
COPOSITIVE MATRICES; CONVEX MAXIMIZATION PROBLEMS; CONCAVE-MINIMIZATIO; GLOBAL OPTIMALITY CONDITIONS;
D O I
10.1007/BF00940491
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
Second-order necessary and sufficient conditions for local optimality in constrained optimization problems are discussed. For global optimality, a criterion recently developed by Hiriart-Urruty and Lemarechal is thoroughly examined in the case of concave quadratic problems and reformulated into copositivity conditions.
引用
收藏
页码:535 / 558
页数:24
相关论文
共 17 条
[1]  
Bazaraa M. S., 1979, NONLINEAR PROGRAMMIN
[2]  
BOMZE IM, 1987, J INFORM OPTIM SCI, V8, P243
[3]  
BOMZE IM, 1989, 12TH P SOR M ATH VER, P27
[4]  
BOMZE IM, 1992, IN PRESS SIAM J OPTI
[5]  
Cottle R. W., 1970, P PRINC S MATH PROGR, P551
[6]  
Danninger G., 1990, Methods of Operations Research, V62, P45
[7]  
DANNINGER G, 1991, 103 U VIENN DEP STAT
[8]   ON NON-NEGATIVE FORMS IN REAL VARIABLES SOME OR ALL OF WHICH ARE NON-NEGATIVE [J].
DIANANDA, PH .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1962, 58 (JAN) :17-&
[9]  
Fletcher R., 1981, PRACTICAL METHODS OP
[10]   ON COPOSITIVE MATRICES [J].
HADELER, KP .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 49 (FEB) :79-89