Work

Two Modified Barzilai-borwein Projection Methods With Applications to Image Restoration

Year: 2026

Type: article

Abstract: 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.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250205

Authors: Peiting Gao, Ruiping Zhang, Jianchao Bai

Institutions: Shanxi Medical University, Shanxi University, Shanxi Provincial People’s Hospital, Northwestern Polytechnical University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shanxi Province

OpenAlex ID: W7222715431