Year: 2025
Type: article
Abstract: This study introduces and evaluates three new conjugate gradient methods for unconstrained optimization based on Perry's conjugacy condition. These methods were compared with the classical Hestenes-Stiefel method using a variety of test functions. Numerical results demonstrated that the proposed methods significantly improved computational efficiency. Three main parameters were considered: the number of iterations, the number of function evaluations, and the computation time. These findings establish the proposed methods as competitive alternatives for large-scale optimization problems. Future research could focus on extending these methods to more complex problem domains.
Author: Basim A. Hassan
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409083155