3 papers
math.OC2025
Coupled Adaptable Backward-Forward-Backward Resolvent Splitting Algorithm (CABRA): A Matrix-Parametrized Resolvent Splitting Method for the Sum of Maximal Monotone and Cocoercive Operators Composed with Linear Coupling Operators
Peter Barkley, Robert L. Bassett
We present a novel matrix-parametrized frugal splitting algorithm which finds the zero of a sum of maximal monotone and cocoercive operators composed with linear selection operator…
math.OC2025
Decentralized Sensor Network Localization using Matrix-Parametrized Proximal Splittings
Peter Barkley, Robert L. Bassett
We present a novel application of a recently-proposed matrix-parametrized proximal splitting method to sensor network localization, the problem of estimating the locations of a set…
math.OC2024
Optimal Design of Resolvent Splitting Algorithms
Robert L Bassett, Peter Barkley
In this paper, we introduce a novel semidefinite programming framework for designing custom frugal resolvent splitting algorithms which find a zero in the sum of n monotone operato…