A New Modified Three-Term Conjugate Gradient Method with Sufficient Descent Property and Its Global Convergence
Joint Authors
Salleh, Zabidin
Alhawarat, Ahmad
Baluch, Bakhtawar
Roslan, U. A. M.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A new modified three-term conjugate gradient (CG) method is shown for solving the large scale optimization problems.
The idea relates to the famous Polak-Ribière-Polyak (PRP) formula.
As the numerator of PRP plays a vital role in numerical result and not having the jamming issue, PRP method is not globally convergent.
So, for the new three-term CG method, the idea is to use the PRP numerator and combine it with any good CG formula’s denominator that performs well.
The new modification of three-term CG method possesses the sufficient descent condition independent of any line search.
The novelty is that by using the Wolfe Powell line search the new modification possesses global convergence properties with convex and nonconvex functions.
Numerical computation with the Wolfe Powell line search by using the standard test function of optimization shows the efficiency and robustness of the new modification.
American Psychological Association (APA)
Baluch, Bakhtawar& Salleh, Zabidin& Alhawarat, Ahmad& Roslan, U. A. M.. 2017. A New Modified Three-Term Conjugate Gradient Method with Sufficient Descent Property and Its Global Convergence. Journal of Mathematics،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1182355
Modern Language Association (MLA)
Baluch, Bakhtawar…[et al.]. A New Modified Three-Term Conjugate Gradient Method with Sufficient Descent Property and Its Global Convergence. Journal of Mathematics No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1182355
American Medical Association (AMA)
Baluch, Bakhtawar& Salleh, Zabidin& Alhawarat, Ahmad& Roslan, U. A. M.. A New Modified Three-Term Conjugate Gradient Method with Sufficient Descent Property and Its Global Convergence. Journal of Mathematics. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1182355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1182355