A Novel hybridization of CG-techniques for Solving Unconstrained Optimization Problems

Conjugate gradient methods are an extremely helpful way for handling large scale non-linear optimization issues. In this paper, based on the three famous Dai-yuan (DY), Liu–Storey (LS)and Conjugate-Descent (CD) conjugate gradient methods, a new hybrid CG method is proposed. Under strong wolf line s...

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Main Author: Hawraz Jabbar
Format: Article
Language:English
Published: College of Education for Pure Sciences 2025-03-01
Series:Wasit Journal for Pure Sciences
Online Access:https://wjps.uowasit.edu.iq/index.php/wjps/article/view/657
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author Hawraz Jabbar
author_facet Hawraz Jabbar
author_sort Hawraz Jabbar
collection DOAJ
description Conjugate gradient methods are an extremely helpful way for handling large scale non-linear optimization issues. In this paper, based on the three famous Dai-yuan (DY), Liu–Storey (LS)and Conjugate-Descent (CD) conjugate gradient methods, a new hybrid CG method is proposed. Under strong wolf line search, we prove the sufficient descent and global convergence features. The new formula is more efficient than other traditional conjugate gradient approaches, according to numerical results.
format Article
id doaj-art-8d0e48609ab9498c86f2c6ed612baf49
institution OA Journals
issn 2790-5233
2790-5241
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publishDate 2025-03-01
publisher College of Education for Pure Sciences
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series Wasit Journal for Pure Sciences
spelling doaj-art-8d0e48609ab9498c86f2c6ed612baf492025-08-20T02:10:09ZengCollege of Education for Pure SciencesWasit Journal for Pure Sciences2790-52332790-52412025-03-014110.31185/wjps.657A Novel hybridization of CG-techniques for Solving Unconstrained Optimization ProblemsHawraz Jabbar0Department of Mathematics, College of Science, University of Kirkuk, IRAQ Conjugate gradient methods are an extremely helpful way for handling large scale non-linear optimization issues. In this paper, based on the three famous Dai-yuan (DY), Liu–Storey (LS)and Conjugate-Descent (CD) conjugate gradient methods, a new hybrid CG method is proposed. Under strong wolf line search, we prove the sufficient descent and global convergence features. The new formula is more efficient than other traditional conjugate gradient approaches, according to numerical results. https://wjps.uowasit.edu.iq/index.php/wjps/article/view/657
spellingShingle Hawraz Jabbar
A Novel hybridization of CG-techniques for Solving Unconstrained Optimization Problems
Wasit Journal for Pure Sciences
title A Novel hybridization of CG-techniques for Solving Unconstrained Optimization Problems
title_full A Novel hybridization of CG-techniques for Solving Unconstrained Optimization Problems
title_fullStr A Novel hybridization of CG-techniques for Solving Unconstrained Optimization Problems
title_full_unstemmed A Novel hybridization of CG-techniques for Solving Unconstrained Optimization Problems
title_short A Novel hybridization of CG-techniques for Solving Unconstrained Optimization Problems
title_sort novel hybridization of cg techniques for solving unconstrained optimization problems
url https://wjps.uowasit.edu.iq/index.php/wjps/article/view/657
work_keys_str_mv AT hawrazjabbar anovelhybridizationofcgtechniquesforsolvingunconstrainedoptimizationproblems
AT hawrazjabbar novelhybridizationofcgtechniquesforsolvingunconstrainedoptimizationproblems