An Inertial Three-Term Conjugate Gradient Projection Method With Applications

Muhammad Abdullahi, Mohammed A. Saleh, Seyed Yaser Mousavi Siamakani, Abdulgader Z. Almaymuni, Auwal Bala Abubakar, Abubakar Sani Halilu and Sulaiman M. Ibrahim

Journal of Mathematics, 2026, vol. 2026, 1-19

Abstract: This paper introduces a robust inertial three-term projection method for solving monotone nonlinear equations. The proposed approach extends existing nonlinear conjugate gradient (CG) methods for unconstrained optimization with inexact line search by incorporating an inertial mechanism and a redesigned three-term search direction to enhance numerical efficiency. The proposed method guarantees that the search direction consistently satisfies the sufficient descent condition and maintains the trust region property. We demonstrate global convergence without requiring Lipschitz continuity and establish a linear convergence rate under some mild assumptions. Using some benchmark test problems, extensive numerical experiments demonstrate the excellent performance of the proposed algorithm. Furthermore, it showcases its practical applications in two key scientific fields: regularized decentralized logistic regression, a crucial model in data analysis, and image recovery, a prominent area in signal processing. The results demonstrate that the suggested approach is more efficient and effective in these applications.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/5663059.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/5663059.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5663059

DOI: 10.1155/jom/5663059

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().