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Two descent spectral conjugate gradient techniques with practical application for image restoration

Year: 2025

Type: article

Abstract: In an attempt to modify the well-known Polak-Ribière-Polyak technique, Jiang et al. introduced a descent nonlinear conjugate gradient algorithm that uses a restart condition to guarantee the global convergence. Here, according to their study, we develop two descent spectral conjugate gradient techniques which, regardless of the line search, fulfill the sufficient descent condition. We analyze convergence of the methods as well. Numerical implementations on a collection of the CUTEr functions as well as the image restoration cases are done which show that the proposed methods are promising.

Source: Communications in Mathematical Sciences

DOI: 10.4310/cms.250412102247

Authors: Nasrin Mirhoseini, Saman Babaie-Kafaki, Zohre Aminifard

Institutions: Semnan University, Free University of Bozen-Bolzano, UCLouvain

Language: English

Topic: Advanced Optimization Algorithms Research

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409353503

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