Accelerated proximal point method for maximally monotone operators

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This paper proposes an accelerated proximal point method for maximally monotone operators. The proof is computer-assisted via the performance estimation problem approach. The proximal point method includes various well-known convex optimization methods, such as the proximal method of multipliers and the alternating direction method of multipliers, and thus the proposed acceleration has wide applications. Numerical experiments are presented to demonstrate the accelerating behaviors.
Publisher
SPRINGER HEIDELBERG
Issue Date
2021-11
Language
English
Article Type
Article
Citation

MATHEMATICAL PROGRAMMING, v.190, no.1-2, pp.57 - 87

ISSN
0025-5610
DOI
10.1007/s10107-021-01643-0
URI
http://hdl.handle.net/10203/288196
Appears in Collection
MA-Journal Papers(저널논문)
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