A new coefficient of conjugate gradient method with global convergence for unconstrained optimization problems
Joint Authors
Sharif, Salah G.
Tahir, Mardin Sh.
Source
General Letters in Mathematics
Issue
Vol. 11, Issue 2 (31 Dec. 2021), pp.36-45, 10 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2021-12-31
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Abstract EN
In this article, we defined a new coefficient formula of the conjugate gradient method for solving non linear unconstrained optimization problems.
The new formula new k is type of line search and the idea of our work is to focus on modification the Perry’s suggestion.
We further show that global convergence result of new formula is recognized under Wolf-Powell line search.
It is shown that the new CG coefficient satisfied sufficient descent conditions.
In the end, numerical experiments with the collection of test functions show that the new new k is more effective compared to some other standard formulas such as _H-S k , _Perry k and _D-Y k .
American Psychological Association (APA)
Tahir, Mardin Sh.& Sharif, Salah G.. 2021. A new coefficient of conjugate gradient method with global convergence for unconstrained optimization problems. General Letters in Mathematics،Vol. 11, no. 2, pp.36-45.
https://search.emarefa.net/detail/BIM-1428671
Modern Language Association (MLA)
Tahir, Mardin Sh.& Sharif, Salah G.. A new coefficient of conjugate gradient method with global convergence for unconstrained optimization problems. General Letters in Mathematics Vol. 11, no. 2 (2021), pp.36-45.
https://search.emarefa.net/detail/BIM-1428671
American Medical Association (AMA)
Tahir, Mardin Sh.& Sharif, Salah G.. A new coefficient of conjugate gradient method with global convergence for unconstrained optimization problems. General Letters in Mathematics. 2021. Vol. 11, no. 2, pp.36-45.
https://search.emarefa.net/detail/BIM-1428671
Data Type
Journal Articles
Language
English
Notes
Includes appendices : p. 44-45
Record ID
BIM-1428671