analyticCenter

ANALYTICCENTER Computes an analytic center of a polytope

 x = center(P)

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 DESCRIPTION
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 Computes an analytic center of a polytope. The input polytope must be bounded
 and fully dimensional! Newton iteration based algorithm is used.

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 INPUT
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 P                - Polytope
 Options.x0       - a point inside relative interior of the polytope P
                    (default: Chebyshev center)
 Options.tol      - tolerance used as a stopping criterion, corresponds
                    to the step of the Newton iteration
                    (default: Chebyshev radius/10)   
 Options.maxIter  - maximal number of Newton step iterations 
                    (default 10)    

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 OUTPUT                                                                                                    
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 x        - Analytic center of the polytope P

 see also CHEBYBALL