TWO MODIFIED BARZILAI-BORWEIN PROJECTION METHODS WITH APPLICATIONS TO IMAGE RESTORATION
In this paper, we propose two modified Barzilai-Borwein projection methods for solving constrained monotone nonlinear equations. These methods are proved to satisfy the Quasi-Newton equation and sufficient descent property independent of any line search. Performance comparisons show that our proposed methods are more competitive and efficient for solving these equations. Our projection methods are also used to restore images to demonstrate their effectiveness.
Authors
- Ruiping Zhang (ORCID: https://orcid.org/0009-0001-1281-5456)
- Peiting Gao
- Bai Jianchao (ORCID: https://orcid.org/0000-0002-2394-8852)
Institutions
- Northwestern Polytechnical University (CN)
- Shanxi Medical University (CN)
- Shanxi University (CN)
- Shanxi Provincial People’s Hospital (CN)
Publication Details
- Journal
- Journal of Applied Analysis & Computation
- Published
- 2026-10-17
- DOI
- https://doi.org/10.11948/20250205
- Primary Topic
- Optimization and Variational Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shanxi Province