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A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting

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Main Authors:	Francisco J., Aragón-Artacho, Radu I., Boţ, David, Torregrosa-Belén
Format:	Article
Language:	English
Published:	Springer 2023
Subjects:	A primal-dual splitting algorithm
Online Access:	https://link.springer.com/article/10.1007/s11075-022-01405-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8285
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spelling	oai:localhost:PNK-82852023-04-25T07:09:57Z A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting Francisco J., Aragón-Artacho Radu I., Boţ David, Torregrosa-Belén A primal-dual splitting algorithm CC BY In this work, we study resolvent splitting algorithms for solving composite monotone inclusion problems. The objective of these general problems is finding a zero in the sum of maximally monotone operators composed with linear operators. Our main contribution is establishing the first primal-dual splitting algorithm for composite monotone inclusions with minimal lifting. Specifically, the proposed scheme reduces the dimension of the product space where the underlying fixed point operator is defined, in comparison to other algorithms, without requiring additional evaluations of the resolvent operators. We prove the convergence of this new algorithm and analyze its performance in a problem arising in image deblurring and denoising. 2023-04-25T07:09:57Z 2023-04-25T07:09:57Z 2022 Article Book https://link.springer.com/article/10.1007/s11075-022-01405-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8285 en application/pdf Springer
institution	Digital Phenikaa
collection	Digital Phenikaa
language	English
topic	A primal-dual splitting algorithm
spellingShingle	A primal-dual splitting algorithm Francisco J., Aragón-Artacho Radu I., Boţ David, Torregrosa-Belén A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
description	CC BY
format	Article
author	Francisco J., Aragón-Artacho Radu I., Boţ David, Torregrosa-Belén
author_facet	Francisco J., Aragón-Artacho Radu I., Boţ David, Torregrosa-Belén
author_sort	Francisco J., Aragón-Artacho
title	A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
title_short	A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
title_full	A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
title_fullStr	A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
title_full_unstemmed	A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
title_sort	primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
publisher	Springer
publishDate	2023
url	https://link.springer.com/article/10.1007/s11075-022-01405-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8285
_version_	1764177438031478784
score	8.881002

A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting

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