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Topic: Non-strict Convex Optimization
Replies: 13   Last Post: May 4, 2012 9:50 AM

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Posts: 33
Registered: 10/4/11
Re: Non-strict Convex Optimization
Posted: May 3, 2012 3:59 PM
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> Then you could redefine f(p,q) over all of C as follows
> fnew(p,q)=f(p,q)+prod(b-A*q)

Thanks for this suggestion. Unfortunately, C is not easy to write out in that form. It would have a very large number of vertices which, with dimensions > 2, would lead to far too vast an "A" term for it to be computationally feasible.

C can be described in terms of an optimization process (e.g. I give it "p", the slopes of a hyperplane, and it is easy to determine the corresponding point(s) on C).

Sorry for not being explicit about this earlier, but I was trying to keep my post short.

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