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Unformatted text preview: to solve this problem. You must say clearly what your variables are, what problem
you solve, and why the problem is convex.
(b) Carry out your method on the data given in rob_min_vol_ellips_data.m. Plot the optimal
tradeoﬀ curve of ellipsoid volume versus total Mahalanobis distance. For some selected points
on the tradeoﬀ curve, plot the ellipsoid and the points (which are in R2 ). We are only
interested in the region of the curve where the ellipsoid volume is within a factor of ten (say)
of the minimum volume ellipsoid that covers all the points.
Important. Depending on how you formulate the problem, you might encounter problems that
are unbounded below, or where CVX encounters numerical diﬃculty. Just avoid these by
appropriate choice of parameter.
Very important. If you use Matlab version 7.0 (which is ﬁlled with bugs) you might ﬁnd that
functions involving determinants don’t work in CVX. If you use this version of Matlab, then
you must download the ﬁle blkdiag.m on the course w...
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This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.
 Fall '13
 F.Borrelli
 The Aeneid

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