A new class of three-term conjugate gradient methods for solving unconstrained minimization problems
Joint Authors
Sharif, Salah Ghazi
Ibrahim, Ala Luqman
Source
General Letters in Mathematics
Issue
Vol. 7, Issue 2 (31 Dec. 2019), pp.79-86, 8 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2019-12-31
Country of Publication
Jordan
No. of Pages
8
Main Subjects
Abstract EN
Conjugate gradient (CG) methods which are usually generate descent search directions, are beneficial for large-scale unconstrained optimization models, because of its low memory requirement and simplicity.
This paper studies the three-term CG method for unconstrained optimization.
The modified a three-term CG method based on the formal ?∗ which is suggested by Kafaki and Ghanbari [11], and using some well-known CG formulas for unconstrained optimization.
Our proposed method satisfies both (the descent and the sufficient descent) conditions.
Furthermore, if we use the exact line search the new proposed is reduce to the classical CG method.
The numerical results show that the suggested method is promising and exhibits a better numerical performance in comparison with the three- term (ZHS-CG) method from an implementation of the suggested method on some normal unconstrained optimization test functions.
American Psychological Association (APA)
Ibrahim, Ala Luqman& Sharif, Salah Ghazi. 2019. A new class of three-term conjugate gradient methods for solving unconstrained minimization problems. General Letters in Mathematics،Vol. 7, no. 2, pp.79-86.
https://search.emarefa.net/detail/BIM-962188
Modern Language Association (MLA)
Ibrahim, Ala Luqman& Sharif, Salah Ghazi. A new class of three-term conjugate gradient methods for solving unconstrained minimization problems. General Letters in Mathematics Vol. 7, no. 2 (Dec. 2019), pp.79-86.
https://search.emarefa.net/detail/BIM-962188
American Medical Association (AMA)
Ibrahim, Ala Luqman& Sharif, Salah Ghazi. A new class of three-term conjugate gradient methods for solving unconstrained minimization problems. General Letters in Mathematics. 2019. Vol. 7, no. 2, pp.79-86.
https://search.emarefa.net/detail/BIM-962188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 85-86
Record ID
BIM-962188