A new hyhbrid coefficient of conjugate gradient method

Nur Syarafina Mohamed, Mustafa Mamat, Mohd Rivaie, Shazlyn Milleana Shaharudin

Abstract


Hybridization is one of the popular approaches in modifying the conjugate gradient method. In this paper, a new hybrid conjugate gradient is suggested and analyzed in which the parameter is evaluated as a convex combination of  while using exact line search. The proposed method is shown to possess both sufficient descent and global convergence properties. Numerical performances show that the proposed method is promising and has overpowered other hybrid conjugate gradient methods in its number of iterations and central processing unit per time. 


Keywords


Conjugate gradient method; Exact line search; Hybrid conjugate gradient method

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DOI: http://doi.org/10.11591/ijeecs.v18.i3.pp1454-1463

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Indonesian Journal of Electrical Engineering and Computer Science (IJEECS)
p-ISSN: 2502-4752, e-ISSN: 2502-4760
This journal is published by the Institute of Advanced Engineering and Science (IAES) in collaboration with Intelektual Pustaka Media Utama (IPMU).

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