scholarly journals On convergence of a global search strategy for reverse convex problems

2005 ◽  
Vol 2005 (3) ◽  
pp. 149-164 ◽  
Author(s):  
Alexander Strekalovsky
Keyword(s):  
Global Convergence ◽  
Optimality Conditions ◽  
Search Strategy ◽  
Global Search ◽  
Global Optimality ◽  
Global Optimality Conditions ◽  
Convex Problems ◽  
Reverse Convex

On the base of global optimality conditions for RCP we develop the global search strategy (GSS) and focus on the global convergence of GSS giving a variant of the proof.

scholarly journals Reverse convex problems: an approach based on optimality conditions

2006 ◽  
Vol 2006 ◽  
pp. 1-16 ◽  
Author(s):  
Ider Tseveendorj
Keyword(s):  
Optimality Conditions ◽  
Linear Program ◽  
Global Optimality ◽  
Global Optimality Conditions ◽  
Convex Constraint ◽  
Convergence Of An Algorithm ◽  
Convex Problems ◽  
Reverse Convex

We present some results concerning reverse convex problems. Global optimality conditions for the problems with a nonsmooth reverse convex constraint are established and convergence of an algorithm in the case of linear program with an additional quadratic reverse convex constraint is studied.

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