Parallel methods for regularizing systems of equations involving accretive operators

TL;DR

This paper introduces two parallel algorithms for solving systems of accretive operator equations in Banach spaces, with proven convergence in both noise-free and noisy scenarios.

Contribution

It presents novel parallel methods for accretive systems and analyzes their convergence properties under various data conditions.

Findings

Convergence proven for noise-free data

Convergence established for noisy data cases

Parallel methods outperform sequential approaches in certain scenarios

Abstract

In this paper, two parallel methods for solving systems of accretive operator equations in Banach spaces are studied. The convergence analysis of the methods in both free-noise and noisy data cases is provided.