An Optimal Hager-Zhang Conjugate Gradient Algorithm for Systems of Monotone Nonlinear Equations with Applications in Signal Processing
Year: 2026
Type: article
Abstract: This paper constructs an optimal choice for the parameter of the popular Hager-Zhang conjugate gradient family of conjugate gradient methods for nonlinear optimization problems. The new formula leverages the nice structure of the famous Barzilai-Borwein spectral parameter, which in turn enhances the numerical performance of the Hager-Zhang method on systems of monotone equations. Furthermore, by using an appropriate line search procedure coupled with some standard assumptions, the global convergence of the proposed method is proven. The experiments that demonstrate the computational advantages involve applying the new method to solve systems of monotone nonlinear equations and problems arising from signal processing. Findings from the experiments confirm the algorithm’s superiority in handling these tasks compared to some existing methods.
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7220378442