On canonical duality theory and constrained optimization problems

2021 ◽  
Author(s):  
Constantin Zălinescu
Keyword(s):  
Constrained Optimization ◽  
Duality Theory ◽  
Optimization Problems ◽  
Constrained Optimization Problems ◽  
Canonical Duality Theory ◽  
Canonical Duality

scholarly journals Canonical Duality for Box Constrained Nonconvex and Nonsmooth Optimization Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Jing Liu ◽  
Huicheng Liu
Keyword(s):  
Nonsmooth Optimization ◽  
Optimization Problems ◽  
Transformation Method ◽  
Constrained Optimization Problems ◽  
Canonical Duality Theory ◽  
Canonical Duality ◽  
Local Extrema ◽  
Triality Theory ◽  
Nonconvex And Nonsmooth Optimization ◽  
Global And Local

This paper presents an application of the canonical duality theory for box constrained nonconvex and nonsmooth optimization problems. By use of the canonical dual transformation method, which is developed recently, these very difficult constrained optimization problems inRncan be converted into the canonical dual problems, which can be solved by deterministic methods. The global and local extrema can be identified by the triality theory. Some examples are listed to illustrate the applications of the theory presented in the paper.

Sign in / Sign up

Export Citation Format

Share Document