Work

Global convergence in a hybrid conjugate gradient projection method for finding solutions of constrained nonlinear equations with applications

Year: 2025

Type: article

Abstract: In this paper, a hybrid conjugate gradient projection method for finding solutions of constrained nonlinear equations is proposed by integrating both hyperplane projection and hybrid techniques. The key features of this method are as follows: (1) It is characterized by a low storage requirement and relies solely on function values; (2) The designed search direction ensures the sufficient descent property without the need for line search approaches; (3) Under certain reasonable assumptions, the global convergence of the method is established; (4) Experimental results demonstrate that the proposed method outperforms the two existing methods about 75.71%, 85.36%, and 86.43% of benchmark problems in terms of CPU time, the number of function evaluations, and iterations. Furthermore, it is applied to successfully solve the sparse signal restoration problems.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0335265

Authors: Yan Xia, Dandan Li, Songhua Wang

Institutions: Guangzhou Huashang College, Guangzhou Huashang Vocational College, Baise University

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,382

Funder: Natural Science Foundation of Guangxi Province