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The prior work of [arXiv:2207.04015, 2022] used scaled relative graphs (SRG)to analyze the convergence of Davis-Yin splitting (DYS) iterations on monotoneinclusion problems. In this work, we use this machinery to analyze DYSiterations on convex optimization problems and obtain state-of-the-art linearconvergence rates.

Convergence Analyses of Davis-Yin Splitting via Scaled Relative Graphs II: Convex Optimization Problems