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Subject: Lower bound of a nonconvex program through the dual problem in Matlab From: Nazmul Islam Date: 19 Jan, 2013 07:23:08 Message: 1 of 6 
I want to get the lower bound of a nonconvex program through the dual problem. Can I do it using the standard Matlab optimization toolboxes? 
Subject: Lower bound of a nonconvex program through the dual problem in Matlab From: Bruno Luong Date: 19 Jan, 2013 10:16:08 Message: 2 of 6 
Use fmincon with interiorpoint method. I believe it minimizes the dualgap. 
Subject: Lower bound of a nonconvex program through the dual problem in Matlab From: Nazmul Islam Date: 22 Jan, 2013 17:33:09 Message: 3 of 6 
Dear Bruno, 
Subject: Lower bound of a nonconvex program through the dual problem in Matlab From: Bruno Luong Date: 22 Jan, 2013 17:41:09 Message: 4 of 6 
"Nazmul Islam" wrote in message <kdmigl$mcj$1@newscl01ah.mathworks.com>... 
Subject: Lower bound of a nonconvex program through the dual problem in Matlab From: Nazmul Islam Date: 22 Jan, 2013 19:38:08 Message: 5 of 6 
Bruno, 
Subject: Lower bound of a nonconvex program through the dual problem in Matlab From: Johan Lofberg Date: 23 Jan, 2013 08:59:09 Message: 6 of 6 
With, YALMIP, you can solve small problems to global optimality. By tweaking the options, you can tell it to give up early and return a valid lower bound (on the minimization objective) 
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