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noban
science forum beginner

Joined: 30 Jun 2010
Posts: 1

Posted: Wed Jun 30, 2010 10:01 am    Post subject: Max volume of inscribed rectangular parallelepiped
Subject description: Optimization problem

How to solve optimization problem of finding rectangular parallelepiped (namely it's Xvect_lowerBound and Xvect_upperBound) which is inscribed into n-dimensional convex space bounded by half-spaces?

One of the approaches is to simulate physical model and start with small hypercube which then will expand itself. But I'd like to use some optimization libraries (I have IPOPT installed). As I understand it, this is multivariable optimization problem. Does Ipopt support it? If not can it be transformed into single variable problem? Is there areny other optimization libraries that can solve such problem? If not then if there any software which is capable to simulate hypercube expansion inside convex polytope?

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