02-02 Some important examples
이 절에서는 convex set의 주요 예제들을 살펴본다.
- Trivial ones: empty set, point, line, line segment, ray
- Hyperplane:
, for given , - Halfspace:
for - Affine space:
, for given - Euclidean ball & ellipsoid
- Norm ball:
, for given norm , radius r - Convex cone : norm cone, normal cone, positive semidefinite cone