-

 

 

 




Optimization Online





 

Exploiting symmetries in SDP-relaxations for polynomial optimization

Cordian Riener (cordian.riener***at***aalto.fi)
Thorsten Theobald (theobald***at***math.uni-frankfurt.de)
Lina Jansson Andrén (lina.andren***at***math.umu.se)
Jean Bernard Lasserre (lasserre***at***laas.fr)

Abstract: In this paper we study various approaches for exploiting symmetries in polynomial optimization problems within the framework of semi definite programming relaxations. Our special focus is on constrained problems especially when the symmetric group is acting on the variables. In particular, we investigate the concept of block decomposition within the framework of constrained polynomial optimization problems, show how the degree principle for the symmetric group can be computationally exploited and also propose some methods to efficiently compute in the geometric quotient.

Keywords: Global optimization; SDP-relaxations; symmetries

Category 1: Global Optimization (Theory )

Category 2: Linear, Cone and Semidefinite Programming (Semi-definite Programming )

Citation: Mathematics of Operations Research 38 (1), p 122-141, 2013

Download: [PDF]

Entry Submitted: 09/16/2006
Entry Accepted: 09/18/2006
Entry Last Modified: 07/11/2013

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society