dualCone -- computes the dual Cone

Synopsis

• Usage:

  Cv = dualCone C

• Inputs:
  • C, a convex rational cone
• Outputs:
  • Cv, a convex rational cone

Description

The dual cone of C in QQ^n is the cone in the dual ambient space (QQ^n)^*, given by {p in (QQ^n)^* | p*c >= 0 for all c in C}.

i1 : C = coneFromVData matrix {{1,2},{2,1}}

o1 = C

o1 : Cone

i2 : Cv = dualCone C

o2 = Cv

o2 : Cone

i3 : rays Cv

o3 = | 2  -1 |
     | -1 2  |

              2        2
o3 : Matrix ZZ  <--- ZZ