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math.OC2023
Local convergence of an inexact proximal algorithm for weakly convex functions
Valdines Leite de Sousa Junior, Lucas Vidal de Meireles, Samara Costa Lima +1
Since introduced by Martinet and Rockafellar, the proximal point algorithm was generalized in many fruitful directions. More recently, in 2002, Pennanen studied the proximal point…
math.NA2023
Inexact Newton Methods for Solving Generalized Equations on Riemannian Manifolds
Mauricio S. Louzeiro, Gilson N. Silva, Jinyun Yuan +1
The convergence of inexact Newton methods is studied for solving generalized equations on Riemannian manifolds by using the metric regularity property, which is also explored. Unde…