Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions

By Hédy Attouch, Alexandre Cabot. Applied Mathematics and Optimization, 2019

89 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bcdaa7f87ade0ea897f8b55fc54427f17c6753b2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Yekini Shehu
2. Prasit Cholamjiak
3. Ernö Robert Csetnek
4. Yura Malitsky
5. Olaniyi Samuel Iyiola

In Computational Theory and Mathematics

1. Yekini Shehu
2. Prasit Cholamjiak
3. Ernö Robert Csetnek
4. Yura Malitsky
5. Duong Viet Thong
6. Dang Van Hieu
7. Olaniyi Samuel Iyiola
8. Oluwatosin Temitope Mewomo

In Mathematical Physics

1. Yekini Shehu
2. Prasit Cholamjiak
3. Ernö Robert Csetnek
4. Tang Bing
5. Sun Young Cho
6. Olaniyi Samuel Iyiola

Citations in the corpus

• Shadow Douglas–Rachford Splitting for Monotone Inclusions (2019, background): “• Inertial terms: It is important to study the extensions of (11) and (20), which incorporate additional inertial and relaxed terms, as it was done in the recent work [5] for the forwardbackward method.”
• Inertial forward-backward splitting method in Banach spaces with application to compressed sensing (2019, methodology): “The authors in [2] presented weak convergence analysis in real Hilbert spaces.”