Some modified fast iterative shrinkage thresholding algorithms with a new adaptive non-monotone stepsize strategy for nonsmooth and convex minimization problems-Reference-Cited by-同舟云学术

Some modified fast iterative shrinkage thresholding algorithms with a new adaptive non-monotone stepsize strategy for nonsmooth and convex minimization problems

Published:2022-07-26 Issue:2 Volume:83 Page:651-691
ISSN:0926-6003
Container-title:Computational Optimization and Applications
language:en
Short-container-title:Comput Optim Appl

Author:

Liu Hongwei,Wang Ting,Liu Zexian

Funder

the National Natural Science Foundation of China

the Natural Science Foundation of Guangxi

the Postdoctoral Fund Project of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s10589-022-00396-6.pdf

Reference32 articles.

1. Attouch, H., Peypouquet, J.: The rate of convergence of Nesterov’s accelerated forwardbackward method is actually faster than $$ {\frac{1}{{{k^2}}}} $$. SIAM J. Optim. 26, 1824–1834 (2016)

2. Attouch, H., Cabot, A.: Convergence rates of inertial forward-backward algorithms. SIAM J. Optim. 28, 849–874 (2018)

3. Apidopoulos, V., Aujol, J., Dossal, C.: Convergence rate of inertial Forward–Backward algorithm beyond Nesterov’s rule. Math. Program. 180, 137–156 (2020)

4. Beck, A., Teboulle, M.: A linearly convergent dual-based gradient projection algorithm for quadratically constrained convex minimization. Math. Oper. Res. 31, 398–417 (2006)

5. Beck, A., Teboulle, M.: A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM J. Imaging Sci. 2, 183–202 (2009)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A novel method for multiple targets localization based on normalized cross-correlation adaptive variable step-size dynamic template matching;AIP Advances;2024-04-01

2. A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems;Journal of Global Optimization;2024-03-05

3. A novel stepsize for gradient descent method;Operations Research Letters;2024-03