We consider proximal Newton methods with an inexact computation of update steps. To this end, we introduce two … framework we find ourselves in while traditional inexactness criteria from smooth Newton or finite dimensional proximal Newton …

We consider proximal Newton methods with an inexact computation of update steps. To this end, we introduce two … framework we find ourselves in while traditional inexactness criteria from smooth Newton or finite dimensional proximal Newton …

We develop a globalized Proximal Newton method for composite and possibly non-convex minimization problems in Hilbert … Proximal Newton method. However, both global convergence as well as local acceleration still pertain to hold in our scenario …

the proximal point algorithm and a damped semismooth Newton method. The outer proximal regularization yields a numerically … stable method, and we interpret the proximal operator as the unconstrained minimization of the primal-dual proximal augmented …