We propose a methodology for studying the performance of common splitting methods
through semidefinite programming. We prove tightness of the methodology and demonstrate …

Davis–Yin splitting (DYS) has found a wide range of applications in optimization, but its
linear rates of convergence have not been studied extensively. The scaled relative graph …

The prior work of [arxiv: 2207.04015, 2022] used scaled relative graphs (SRG) to analyze
the convergence of Davis-Yin splitting (DYS) iterations on monotone inclusion problems. In …

In modern engineering scenarios, there is often a strict upper bound on the number of
algorithm iterations that can be performed within a given time limit. This raises the question …

This report introduces Split-as-a-Pro, a new control framework that combines behavioral
systems theory, operator splitting methods, and alternating projection algorithms. The …

Esta tesis consta de dos partes, en la primera se estudian las trayectorias de una ecuación
de segundo orden y cómo éstas convergen asintóticamente a la solución de inclusiones …