interiorPoint -- computes a point in the relative interior of the Polyhedron

Synopsis

• Usage:

  p = interiorPoint P

• Inputs:
  • P, a convex polyhedron
• Outputs:
  • p, a matrix, over QQ with only one column representing a point

Description

interiorPoint takes the vertices of the Polyhedron and computes the sum multiplied by 1/n, where n is the number of vertices.

i1 : P = cyclicPolytope(3,5)

o1 = P

o1 : Polyhedron

i2 : interiorPoint P

o2 = | 2  |
     | 6  |
     | 20 |

              3        1
o2 : Matrix QQ  <--- QQ