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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

Ways to use interiorPoint :

interiorPoint(Polyhedron)

For the programmer

The object interiorPoint is a method function.