Home > mpt > @polytope > getOutterEllipsoid.m

getOutterEllipsoid

PURPOSE ^

GETOUTTERELLIPSOID Computes the smallest ellipsoid which covers the polytope P

SYNOPSIS ^

function E=getOutterEllipsoid(P,Options)

DESCRIPTION ^

GETOUTTERELLIPSOID Computes the smallest ellipsoid which covers the polytope P

 E = getOutterEllipsoid(P)

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 INPUT
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   P                - Polytope object  
   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       -   Minimal volume ellipsoid, (x-x0) E^(-1) (x - x0) <= 1,
              covering P, 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, GETINNERELLIPSOID

CROSS-REFERENCE INFORMATION ^

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