# Cone

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

# Convex cone

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

## 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 :