Hessian Riemannian Gradient Flows in Convex Programming
Hessian Riemannian Gradient Flows in Convex Programming
In view of solving theoretically constrained minimization problems, we investigate the properties of the gradient flows with respect to Hessian Riemannian metrics induced by Legendre functions. The first result characterizes Hessian Riemannian structures on convex sets as metrics that have a specific integration property with respect to variational inequalities, giving …