Convergence of Halpern’s Iteration Method with Applications in Optimization-Reference-Cited by-同舟云学术

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Convergence of Halpern’s Iteration Method with Applications in Optimization

Published:2021-11-17 Issue: Volume: Page:1-16
ISSN:0163-0563
Container-title:Numerical Functional Analysis and Optimization
language:en
Short-container-title:Numerical Functional Analysis and Optimization

Author:

Qi Huiqiang¹,Xu Hong-Kun¹

Affiliation:

1. School of Science, Hangzhou Dianzi University, Hangzhou, China

Funder

Natural Science Foundation of China

Australian Research Council/Discovery Project

Publisher

Informa UK Limited

Subject

Control and Optimization,Computer Science Applications,Signal Processing,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/01630563.2021.2001826

Reference33 articles.

1. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

2. A Mathematical Introduction to Compressive Sensing

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1. On the convergence of the trajectories of the dynamical Moudafi’s viscosity approximation system;Arabian Journal of Mathematics;2024-03-22

2. Fast Krasnosel’skiĭ–Mann Algorithm with a Convergence Rate of the Fixed Point Iteration of \(\boldsymbol{{ o} \left(\frac{1}{{ k}} \right)}\);SIAM Journal on Numerical Analysis;2023-11-20

3. Two-step inertial forward–reflected–anchored–backward splitting algorithm for solving monotone inclusion problems;Computational and Applied Mathematics;2023-11-04

4. Convergence analysis of the Halpern iteration with adaptive anchoring parameters;Mathematics of Computation;2023-05-17

5. Strong Convergence of Forward–Reflected–Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control;Journal of Scientific Computing;2023-02-14

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