3 papers
math.OC2019
Single-Forward-Step Projective Splitting: Exploiting Cocoercivity
Patrick R. Johnstone, Jonathan Eckstein
This work describes a new variant of projective splitting for solving maximal monotone inclusions and complicated convex optimization problems. In the new version, cocoercive opera…
math.OC2018
Convergence Rates for Projective Splitting
Patrick R. Johnstone, Jonathan Eckstein
Projective splitting is a family of methods for solving inclusions involving sums of maximal monotone operators. First introduced by Eckstein and Svaiter in 2008, these methods hav…
math.OC2018
Projective Splitting with Forward Steps: Asynchronous and Block-Iterative Operator Splitting
Patrick R. Johnstone, Jonathan Eckstein
This work is concerned with the classical problem of finding a zero of a sum of maximal monotone operators. For the projective splitting framework recently proposed by Combettes an…