Title
Partly convex programming and zermelo's navigation problems
Abstract
Mathematical programs, that become convex programs after “freezing” some variables, are termed partly convex. For such programs we give saddle-point conditions that are both necessary and sufficient that a feasible point be globally optimal. The conditions require “cooperation” of the feasible point tested for optimality, an assumption implied by lower semicontinuity of the feasible set mapping. The characterizations are simplified if certain point-to-set mappings satisfy a “sandwich condition”.
Year
DOI
Venue
1995
10.1007/BF01279450
J. Global Optimization
Keywords
Field
DocType
90C25,90C30,90C90,Global optimum,local optimum,saddle point,point-to-set mapping,Zermelo's navigation problem
Absolutely convex set,Mathematical optimization,Nonlinear programming,Subderivative,Feasible region,Proper convex function,Convex optimization,Mathematics,Convex analysis,Linear matrix inequality
Journal
Volume
Issue
ISSN
7
3
0925-5001
Citations 
PageRank 
References 
2
0.58
4
Authors
1
Name
Order
Citations
PageRank
Sanjo Zlobec15414.44