Polyconvex function
In mathematics, the notion of polyconvexity is a generalization of the notion of convexity for functions defined on spaces of matrices. Let Mm×n denote the space of all m × n matrices over the field K, which may be either the real numbers R, or the complex numbers C. A function f : Mm×n → R ∪ is said to be polyconvex if
can be written as a convex function of the p × p subdeterminants of A, for 1 ≤ p ≤ min.
Polyconvexity is a weaker property than convexity. For example, the function f given by
is polyconvex but not convex.
