# Characteristic cone

The Characteristic cone of a polyhedron, $LaTeX: P$ is
$LaTeX: \{y: x + y \in P \;\mbox{ for all }\; x \in P\}.$
If $LaTeX: P = \{x : Ax \le b\}$, then its characteristic cone is $LaTeX: \{y: Ay \le 0\}$, which is the same as the recession cone.