Hessian polyhedron

A Hessian polyhedron, in the context of optimization and convex analysis, refers to a geometric representation of the feasible region or a set defined through linear inequalities in n-dimensional space, specifically associated with the Hessian matrix of a function. The Hessian matrix is a square matrix that consists of second-order partial derivatives of a scalar-valued function. It provides information about the local curvature of the function.