2 papers
math.OC2024
A general framework for inexact splitting algorithms with relative errors and applications to Chambolle-Pock and Davis-Yin methods
M. Marques Alves, Dirk A. Lorenz, Emanuele Naldi
In this work we apply the recently introduced framework of degenerate preconditioned proximal point algorithms to the hybrid proximal extragradient (HPE) method for maximal monoton…
math.OC2024
Proximal Algorithms for a class of abstract convex functions
Ewa Bednarczuk, Dirk Lorenz, The Hung Tran
In this paper we analyze a class of nonconvex optimization problem from the viewpoint of abstract convexity. Using the respective generalizations of the subgradient we propose an a…