Abstract
In this article, inspired by the overwhelming suc-cesses recorded by the inertial effect on existing iterative methods, we propose an inertial projection conjugate gradient (CG) method for solving nonlinear monotone operator equations with convex constraints. As a starting point, the inertial step is added to an existing CG method called PCG with the aim of speeding up its convergence. Under appropriate assumptions, the global convergence of the method is established. Numerical results are reported and in comparison with the PCG method, the effect of the inertial term is clearly seen as the propose approach outperforms the PCG method based on all metrics considered. This is evident that the inertial term has really performed its duty as expected.
| Original language | English |
|---|---|
| Title of host publication | 2022 12th International Conference on Information Science and Technology, ICIST 2022 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1-7 |
| Number of pages | 7 |
| ISBN (Electronic) | 9781665485821 |
| DOIs | |
| State | Published - 2022 |
| Externally published | Yes |
| Event | 12th International Conference on Information Science and Technology, ICIST 2022 - Kaifeng, China Duration: 14 Oct 2022 → 16 Oct 2022 |
Publication series
| Name | 2022 12th International Conference on Information Science and Technology, ICIST 2022 |
|---|
Conference
| Conference | 12th International Conference on Information Science and Technology, ICIST 2022 |
|---|---|
| Country/Territory | China |
| City | Kaifeng |
| Period | 14/10/22 → 16/10/22 |
Bibliographical note
Publisher Copyright:© 2022 IEEE.
Keywords
- Monotone operator
- conjugate gradient
- global convergence
- inertial effect
ASJC Scopus subject areas
- Instrumentation
- Artificial Intelligence
- Computer Science Applications
- Information Systems and Management
- Control and Optimization