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Comments on a Simplified Form of Block-Iterative Operator Splitting, and an Asynchronous Algorithm Resembling the Multi-block Alternating Direction Method of Multipliers

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Abstract

This note gives an improved version of the proof of Proposition 4.2 in “A Simplified Form of Block-Iterative Operator Splitting, and an Asynchronous Algorithm Resembling the Multi-block Alternating Direction Method of Multipliers,” Journal of Optimization Theory and Applications 173(1): 155–182 (2017).

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  1. Eckstein, J.: A simplified form of block-iterative operator splitting, and an asynchronous algorithm resembling the multi-block alternating direction method of multipliers. J. Optim. Theory Appl. 173(1), 155–182 (2017)

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Acknowledgements

This work was supported in part by National Science Foundation (NSF) Grant 1617617, Computing and Communications Foundations, CISE directorate. The author thanks Patrick R. Johnstone for his comments on [1].

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Correspondence to Jonathan Eckstein.

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The author is employed by Rutgers University and has current grant funding from the National Science Foundation, Air Force Office of Scientific Research, and Sandia National Laboratories. The author is a consultant for Sandia National Laboratories.

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Eckstein, J. Comments on a Simplified Form of Block-Iterative Operator Splitting, and an Asynchronous Algorithm Resembling the Multi-block Alternating Direction Method of Multipliers. J Optim Theory Appl 176, 783–785 (2018). https://doi.org/10.1007/s10957-018-1227-3

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  • DOI: https://doi.org/10.1007/s10957-018-1227-3

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