Cone + Cone -- computes the Minkowski sum of two cones

Synopsis

• Operator: +

• Usage:

  C = C1 + C2

• Inputs:
  • C1, a convex rational cone
  • C2, a convex rational cone
• Outputs:
  • C, a convex rational cone

Description

Computes the Minkowski sum of C1 and C2. This is the cone C1 + C2 = {x + y | x in C1, y in C2}. Note that C1 and C2 have to lie in the same ambient space.

See also minkowskiSum.

i1 : C1 = coneFromVData matrix {{1,2,3},{2,3,1},{3,1,2}}

o1 = C1

o1 : Cone

i2 : C2 = coneFromVData matrix {{1},{0},{0}}

o2 = C2

o2 : Cone

i3 : C = C1 + C2

o3 = C

o3 : Cone

i4 : rays C

o4 = | 1 2 3 1 |
     | 0 3 1 2 |
     | 0 1 2 3 |

              3        4
o4 : Matrix ZZ  <--- ZZ