A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems

Zhonghui Xue, Qianfeng Ma and Yazheng Dang

Journal of Mathematics, 2025, vol. 2025, 1-12

Abstract: This article presents a refined iteration of the distributed Bregman alternating direction method of multipliers (ADMM) tailored to tackle nonconvex consensus issues, especially those with multiple blocks. The reliability of this novel approach is established through demonstrating its robust convergence under specific conditions. These conditions entail the requirement that the potential function satisfies the Kurdyka–Šojasiewicz property and that the penalty parameter exceeds a predefined constant. Initial numerical trials have shown encouraging outcomes, suggesting notable efficiency enhancements in the refined distributed Bregman ADMM algorithm.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9558795

DOI: 10.1155/jom/9558795

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