Work

Hybridized Brazilian–Bowein type spectral gradient projection method for constrained nonlinear equations

Year: 2024

Type: article

Abstract: This paper proposes a hybridized Brazilian and Bowein derivative-free spectral gradient projection method for solving systems of convex-constrained nonlinear equations. The method avoids solving any subproblems in each iteration. Global convergence is established under appropriate assumptions on the functions involved. Additionally, numerical experiments are conducted to evaluate the algorithm’s performance, providing evidence of its efficiency compared to similar algorithms from the existing literature. The results demonstrate that the method outperforms some existing approaches in terms of the number of iterations, function evaluations, and time required to obtain a solution based on the examples considered.

Source: Results in Control and Optimization

DOI: 10.1016/j.rico.2024.100483

Authors: Jitsupa Deepho, Abdulkarim Hassan Ibrahim, Auwal Bala Abubakar, Maggie Aphane

Institutions: King Mongkut's University of Technology North Bangkok, King Fahd University of Petroleum and Minerals, Sefako Makgatho Health Sciences University, Bayero University Kano

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4403289993

FWCI:

Cites: 34

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Related to: 10