3 papers
math.OC2026
Optimal Leveraging of Smoothness and Strong Convexity for Peaceman--Rachford Splitting
Luis Briceño-Arias, Fernando Roldán
In this paper, we introduce a simple methodology to leverage strong convexity and smoothness in order to obtain an optimal linear convergence rate for the Peaceman--Rachford splitt…
math.OC2025
Relaxed and inertial nonlinear Forward-Backward algorithm
Juan José Maulén, Fernando Roldán, Cristian Vega
The Nonlinear Forward-Backward (NFB) algorithm, also known as warped resolvent iterations, is a splitting method for finding zeros of sums of monotone operators. In particular case…
math.OC2024
Relaxed and Inertial Nonlinear Forward-Backward with Momentum
Fernando Roldán, Cristian Vega
In this article, we study inertial algorithms for numerically solving monotone inclusions involving the sum of a maximally monotone and a cocoercive operator. In particular, we ana…