A new hyhbrid coefficient of conjugate gradient method

Published on Jun 1, 2020in Indonesian Journal of Electrical Engineering and Computer Science
· DOI :10.11591/IJEECS.V18.I3.PP1454-1463
Nur Syarafina Mohamed3
Estimated H-index: 3
(University of Kuala Lumpur),
Mustafa Mamat15
Estimated H-index: 15
(UniSZA: Universiti Sultan Zainal Abidin)
+ 1 AuthorsShazlyn Milleana Shaharudin3
Estimated H-index: 3
(UPSI: Sultan Idris University of Education)
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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.
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