|  |  D.13.2.42 maximalValue Procedure from librarypolymake.lib(see  polymake_lib).
 
Example:Usage:
maximalValue(p,v); p polytope, v intvec
Assume:
v lies in the negative dual tail cone of p
Return:
intmat, vertices of the face of p on which the linear form v is maximal
Note:
first coordinate of v corresponds to a shift of the maximal value
since p is considered as a polytope in the plane (first coordinate) = 1.
 |  | LIB "polymake.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
intmat M[3][3]=
1,1,0,
1,0,1,
1,-1,-1;
intvec v = 0,1,1;
polytope p = polytopeViaPoints(M);
maximalValue(p,v);
==> polymake: used package ppl
==>   The Parma Polyhedra Library (PPL): A C++ library for convex polyhedra
==>   and other numerical abstractions.
==>   http://www.cs.unipr.it/ppl/
==> 
==> 1
intvec w = -5,1,1;
maximalValue(p,w);
==> -4
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