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Raouf Ziadi, Asma Maiza, Abd Elhamid Mehamdia, Mohammed A. Saleh, An enhanced PRP conjugate gradient method by adapting a new line search for unconstrained optimization and image restoration problems

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DOI: 10.23952/asvao.8.2026.3.05
Volume 8, Issue 3, 1 December 2026, Pages 357-372

 

Abstract. Conjugate gradient methods are considered among the most efficient methods for solving large-scale optimization problems. Among them, the PRP variant has attracted the attention due to its straightforward iterative process and low memory requirements. In this paper, a new inexact line search method is proposed and the existence of a steplength that meets the new line search conditions is obtained. The generated descent direction and the convergence properties of the PRP method are studied under the new line search conditions, where the global convergence is proven under mild assumptions.

 

How to Cite this Article:
R. Ziadi, A. Maiza, A.E. Mehamdia, M.A. Saleh, An enhanced PRP conjugate gradient method by adapting a new line search for unconstrained optimization and image restoration problems, Appl. Set-Valued Anal. Optim. 8 (2026), 357-372.