Home Online Manual
Top
Back: minimalFace
Forward: minkowskiSum
FastBack: gfanlib_so
FastForward: Release Notes
Up: polymake_so
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.16.2.30 minimalValue

Syntax:
Polymake::minimalValue( polytope p, intvec v )
Assume:
v lies in the dual tail cone of p.
Type:
int
Purpose:
the minimal value of the linear form v on p.
Note:
The first coordinate of v corresponds to a shift of the minimal value since p is considered as a polytope in the plane (first coordinate) = 1.
Example:
 
  LIB"polymake.lib";
==> Welcome to polymake
==> Copyright (c) 1997-2012
==> 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);
  Polymake::minimalValue(p,v);
==> polymake: used package cddlib
==>   Implementation of the double description method of Motzkin et al.
==>   Copyright by Komei Fukuda.
==>   http://www.ifor.math.ethz.ch/~fukuda/cdd_home/cdd.html
==> 
==> -2
  v = -5,1,1;
  Polymake::minimalValue(p,v);
==> -7