A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting
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| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11075-022-01405-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8285 |
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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 |