A new conjugate gradient algorithms using conjugacy condition for solving unconstrained optimization

The primarily objective of this paper which is indicated in the field of conjugate gradient algorithms for unconstrained optimization problems and algorithms is to show the advantage of the new proposed algorithm in comparison with the standard method which is denoted as. Hestenes Stiefel method, as...

Full description

Saved in:
Bibliographic Details
Main Authors: Qasim, Aseel M. (Author), Salih, Zinah F. (Author), Hassan, Basim A. (Author)
Other Authors: University of Mosul (Contributor)
Format: EJournal Article
Published: Institute of Advanced Engineering and Science, 2021-12-01.
Subjects:
Online Access:Get fulltext
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 02405 am a22003133u 4500
001 ijeecs25295_15809
042 |a dc 
100 1 0 |a Qasim, Aseel M.  |e author 
100 1 0 |a University of Mosul  |e contributor 
700 1 0 |a Salih, Zinah F.  |e author 
700 1 0 |a Hassan, Basim A.  |e author 
245 0 0 |a A new conjugate gradient algorithms using conjugacy condition for solving unconstrained optimization 
260 |b Institute of Advanced Engineering and Science,   |c 2021-12-01. 
500 |a https://ijeecs.iaescore.com/index.php/IJEECS/article/view/25295 
520 |a The primarily objective of this paper which is indicated in the field of conjugate gradient algorithms for unconstrained optimization problems and algorithms is to show the advantage of the new proposed algorithm in comparison with the standard method which is denoted as. Hestenes Stiefel method, as we know the coefficient conjugate parameter is very crucial for this reason, we proposed a simple modification of the coefficient conjugate gradient which is used to derived the new formula for the conjugate gradient update parameter described in this paper. Our new modification is based on the conjugacy situation for nonlinear conjugate gradient methods which is given by the conjugacy condition for nonlinear conjugate gradient methods and added a nonnegative parameter to suggest the new extension of the method. Under mild Wolfe conditions, the global convergence theorem and lemmas are also defined and proved. The proposed method's efficiency is programming and demonstrated by the numerical instances, which were very encouraging. 
540 |a Copyright (c) 2021 Institute of Advanced Engineering and Science 
540 |a http://creativecommons.org/licenses/by-nc/4.0 
546 |a eng 
690
690 |a Conjugacy condition; Conjugate gradient method; Global convergence; Sufficient descent property; 
655 7 |a info:eu-repo/semantics/article  |2 local 
655 7 |a info:eu-repo/semantics/publishedVersion  |2 local 
655 7 |2 local 
786 0 |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 24, No 3: December 2021; 1647-1653 
786 0 |n 2502-4760 
786 0 |n 2502-4752 
786 0 |n 10.11591/ijeecs.v24.i3 
787 0 |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/25295/15809 
856 4 1 |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/25295/15809  |z Get fulltext