Cone

A non-empty set $S$ is called cone, if:

Convex cone

The set $S$ is called convex cone, if:

center

Examples:

  • Affine sets, containing
  • Ray
  • - the set of symmetric positive semi-definite matrices

Related definitions

Conic combination

Let we have , then the point is called conic combination of if

Conic hull

The set of all conic combinations of points in set is called the conic hull of :

center