What is it about?
This paper studies the complexity of the relaxed Peaceman-Rachford splitting method, an important and widely studied method, to find a zero to the sum of two maximal strongly monotone operators. The authors of the paper studied this using the hybrid proximal extragradient framework.
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Why is it important?
This is among the very few studies in the literature on the method on two maximal strongly monotone operators. The results obtained improved on what is currently known in the literature.
Perspectives
The novelty of this paper is relating the relaxed Peaceman-Rachford splitting method to the hybrid proximal extragradient framework.
Dr Chee Khian Sim
University of Portsmouth
Read the Original
This page is a summary of: Complexity of the relaxed Peaceman–Rachford splitting method for the sum of two maximal strongly monotone operators, Computational Optimization and Applications, March 2018, Springer Science + Business Media,
DOI: 10.1007/s10589-018-9996-z.
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