Title
A canonical dual approach for solving linearly constrained quadratic programs.
Abstract
This paper provides a canonical dual approach for minimizing a general quadratic function over a set of linear constraints. We first perturb the feasible domain by a quadratic constraint, and then solve a " restricted" canonical dual program of the perturbed problem at each iteration to generate a sequence of feasible solutions of the original problem. The generated sequence is proven to be convergent to a Karush-Kuhn-Tucker point with a strictly decreasing objective value. Some numerical results are provided to illustrate the proposed approach. © 2011 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2012
10.1016/j.ejor.2011.09.015
European Journal of Operational Research
Keywords
Field
DocType
Quadratic programming,Global optimization,Canonical duality theory
Mathematical optimization,Column generation,Global optimization,Quadratically constrained quadratic program,Quadratic equation,Quadratic function,Quadratic programming,Mathematics
Journal
Volume
Issue
ISSN
218
1
0377-2217
Citations 
PageRank 
References 
0
0.34
6
Authors
4
Name
Order
Citations
PageRank
Wenxun Xing19610.67
Shu-Cherng Fang2115395.41
Ruey-Lin Sheu311510.77
Ziteng Wang4153.00