An Efficient Hybrid Conjugate Gradient Method with the Strong Wolfe-Powell Line Search
Joint Authors
Salleh, Zabidin
Alhawarat, Ahmad
Mamat, Mustafa
Rivaie, Mohd
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-22
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Conjugate gradient (CG) method is an interesting tool to solve optimization problems in many fields, such as design, economics, physics, and engineering.
In this paper, we depict a new hybrid of CG method which relates to the famous Polak-Ribière-Polyak (PRP) formula.
It reveals a solution for the PRP case which is not globally convergent with the strong Wolfe-Powell (SWP) line search.
The new formula possesses the sufficient descent condition and the global convergent properties.
In addition, we further explained about the cases where PRP method failed with SWP line search.
Furthermore, we provide numerical computations for the new hybrid CG method which is almost better than other related PRP formulas in both the number of iterations and the CPU time under some standard test functions.
American Psychological Association (APA)
Alhawarat, Ahmad& Mamat, Mustafa& Rivaie, Mohd& Salleh, Zabidin. 2015. An Efficient Hybrid Conjugate Gradient Method with the Strong Wolfe-Powell Line Search. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1072905
Modern Language Association (MLA)
Alhawarat, Ahmad…[et al.]. An Efficient Hybrid Conjugate Gradient Method with the Strong Wolfe-Powell Line Search. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1072905
American Medical Association (AMA)
Alhawarat, Ahmad& Mamat, Mustafa& Rivaie, Mohd& Salleh, Zabidin. An Efficient Hybrid Conjugate Gradient Method with the Strong Wolfe-Powell Line Search. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1072905
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072905