Symmetric cone

A **symmetric cone** is a special type of geometric cone that arises in the context of convex analysis and algebraic geometry. More formally, a symmetric cone can be defined as a proper, closed, convex cone in a finite-dimensional real vector space that has a certain invariance property under linear transformations. Symmetric cones are characterized by the following properties: 1. **Self-Duality**: A symmetric cone is self-dual, which means that the cone is equal to its dual cone.