A fundamental proof of convergence of alternating direction method of multipliers for weakly convex optimization

Abstract The convergence of the alternating direction method of multipliers (ADMMs) algorithm to convex/nonconvex combinational optimization has been well established in the literature. Due to the extensive applications of a weakly convex function in signal processing and machine learning, in this p...

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Bibliographic Details
Main Authors: Tao Zhang, Zhengwei Shen
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2080-0