Publication:
A Descent Four-term Of Liu And Storey Conjugate Gradient Method For Large Scale Unconstrained Optimization Problems

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dc.contributor.authorShahrina Ismailen_US
dc.contributor.authorAhmad Alhawaraten_US
dc.contributor.authorIbtisam A. Masmalien_US
dc.contributor.authorHanan Alolaiyanen_US
dc.contributor.authorZabidin Sallehen_US
dc.date.accessioned2024-05-29T02:25:43Z
dc.date.available2024-05-29T02:25:43Z
dc.date.issued2021-10
dc.date.submitted2022-2-14
dc.description.abstractThe conjugate gradient (CG) method is a useful tool for obtaining the optimum point for unconstrained optimization problems since it does not require a second derivative or its approximations. Moreover, the conjugate gradient method can be applied in many fields such as machine learning, deep learning, neural network, and many others. This paper constructs a four-term conjugate gradient method that satisfies the descent property and convergence properties to obtain the stationary point. The new modification was constructed based on Liu and Storey's conjugate gradient method, two-term conjugate gradient method, and three-term conjugate gradient method. To analyze the efficiency and robustness, we used more than 150 optimization functions from the CUTEst library with different dimensions and shapes. The numerical results show that the new modification outperforms the recent conjugate gradient methods such as CG-Descent, Dai and Liao, and others in terms of number of functions evaluations, number of gradient evaluations, number of iterations, and CPU time.en_US
dc.identifier.citationAlhawarat, A., Alolaiyan, H., Masmali, I. A., Salleh, Z., & Ismail, S. (2021). A Descent Four-Term of Liu and Storey Conjugate Gradient Method for Large Scale Unconstrained Optimization Problems. European Journal of Pure and Applied Mathematics, 14(4), 1429–1456. https://doi.org/10.29020/nybg.ejpam.v14i4.4128en_US
dc.identifier.doi10.29020/nybg.ejpam.v14i4.4128
dc.identifier.epage1456
dc.identifier.issn1307-5543
dc.identifier.issue4
dc.identifier.other2243-10
dc.identifier.spage1429
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10493
dc.identifier.volume14
dc.language.isoenen_US
dc.publisherNew York Business Globalen_US
dc.relation.ispartofEuropean Journal of Pure and Applied Mathematicsen_US
dc.subjectConjugate gradient method, Wolfe Powell line search, Descent condition, Convergenceen_US
dc.titleA Descent Four-term Of Liu And Storey Conjugate Gradient Method For Large Scale Unconstrained Optimization Problemsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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