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

• 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

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.