A comparison on classical-hybrid conjugate gradient method under exact line search

One of the popular approaches in modifying the Conjugate Gradient (CG) Method is hybridization. In this paper, a new hybrid CG is introduced and its performance is compared to the classical CG method which are Rivaie-Mustafa-Ismail-Leong (RMIL) and Syarafina-Mustafa-Rivaie (SMR) methods. The propose...

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Bibliographic Details
Published in:International Journal of Advances in Intelligent Informatics
Main Author: Mohamed N.S.; Mamat M.; Rivaie M.; Shaharudin S.M.
Format: Article
Language:English
Published: Universitas Ahmad Dahlan 2019
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85070189578&doi=10.26555%2fijain.v5i2.356&partnerID=40&md5=706e767bf063f0ab281de56acb6fed64
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Summary:One of the popular approaches in modifying the Conjugate Gradient (CG) Method is hybridization. In this paper, a new hybrid CG is introduced and its performance is compared to the classical CG method which are Rivaie-Mustafa-Ismail-Leong (RMIL) and Syarafina-Mustafa-Rivaie (SMR) methods. The proposed hybrid CG is evaluated as a convex combination of RMIL and SMR method. Their performance are analyzed under the exact line search. The comparison performance showed that the hybrid CG is promising and has outperformed the classical CG of RMIL and SMR in terms of the number of iterations and central processing unit per time. © 2019, Universitas Ahmad Dahlan. All rights reserved.
ISSN:24426571
DOI:10.26555/ijain.v5i2.356