getInnerEllipsoid

GETINNERELLIPSOID Computes the largest ellipsoid inscribed in a polytope

 E = getInnerEllipsoid(Pset,x0,E,Options)

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 DESCRIPTION
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 This function computes he largest ellipsoid inscribed in a polytope. 
 It is also possible to pass an ellipsoid (x-x0) E (x - x0) <= rho and 
 to compute the maximum rho such that the scaled ellipsoid is still contained
 in the polytope.

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 INPUT
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   Pset    -   Polytope object constraining the ellipsoid
   E,x0    -   Optional: input ellipsoid with center x0, i.e.
                           (x-x0) E^(-1) (x - x0) <= rho 
               given as an ELLIPSOID object
               The function then computes the maximum rho such that the 
               ellipsoid is still contained in Pset.
   Options
     .plotresult    - If problem is in 2D and flag is set to 1, the result 
                      will be plotted (Default: 0).
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 OUTPUT
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  E       -   Maximum volume ellipsoid,  (x-x0) E (x - x0) <= 1, returned as
              an ELLIPSOID object

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 LITERATURE
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   S. Boyd and L. Vanderberghe, Convex Optimization

 see also MPT_PLOTELLIP, GETOUTTERELLIPSOID