What is it about?
In this paper, the convergence behavior of the relaxed Peaceman-Rachford splitting method to solve optimization problems is studied using novel optimization techniques. This paper advances the state-of-the-art knowledge in the study on how the method behaves.
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Why is it important?
The analysis on the convergence behavior of the relaxed Peaceman-Rachford splitting method to solve optimization problems is atypical and hence novel, and it potentially opens up new ways to analyze algorithms to solve optimization problems. Furthermore, the results obtained are new and push the boundary of what is currently known.
Perspectives
The analysis involved in the work is atypical, and it does not come along often.
Dr Chee Khian Sim
University of Portsmouth
Read the Original
This page is a summary of: Convergence Rates for the Relaxed Peaceman-Rachford Splitting Method on a Monotone Inclusion Problem, Journal of Optimization Theory and Applications, December 2022, Springer Science + Business Media,
DOI: 10.1007/s10957-022-02136-6.
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