A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization

Conjugate gradient (CG) methods are important in solving unconstrained optimization especially for large-scale unconstrained optimization. In this paper, we proposed a new simple CG coefficient. The global convergence result is established by using exact line search. Numerical results based on numbe...

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Main Authors:	Mustafa, Mamat, Norrlaili, Shapiee, Mohd Rivaie, Mohd Ali
Format:	Article
Language:	English English
Published:	HIKARI Ltd. 2015
Subjects:	QA Mathematics QA75 Electronic computers. Computer science
Online Access:	http://eprints.unisza.edu.my/6235/1/FH02-FIK-15-03339.pdf http://eprints.unisza.edu.my/6235/2/FH02-FIK-15-03432.jpg http://eprints.unisza.edu.my/6235/
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Institution:	Universiti Sultan Zainal Abidin
Language:	English English

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spelling	my-unisza-ir.62352022-09-13T05:18:11Z http://eprints.unisza.edu.my/6235/ A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization Mustafa, Mamat Norrlaili, Shapiee Mohd Rivaie, Mohd Ali QA Mathematics QA75 Electronic computers. Computer science Conjugate gradient (CG) methods are important in solving unconstrained optimization especially for large-scale unconstrained optimization. In this paper, we proposed a new simple CG coefficient. The global convergence result is established by using exact line search. Numerical results based on number of iterations and CPU time. Numerical result shows that our method is efficient when compared to the other CG coefficients for a given standard test problems. HIKARI Ltd. 2015 Article PeerReviewed text en http://eprints.unisza.edu.my/6235/1/FH02-FIK-15-03339.pdf image en http://eprints.unisza.edu.my/6235/2/FH02-FIK-15-03432.jpg Mustafa, Mamat and Norrlaili, Shapiee and Mohd Rivaie, Mohd Ali (2015) A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization. Applied Mathematical Sciences, 9 (63). pp. 3119-3130. ISSN 0066-5452 [P]
institution	Universiti Sultan Zainal Abidin
building	UNISZA Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Sultan Zainal Abidin
content_source	UNISZA Institutional Repository
url_provider	https://eprints.unisza.edu.my/
language	English English
topic	QA Mathematics QA75 Electronic computers. Computer science
spellingShingle	QA Mathematics QA75 Electronic computers. Computer science Mustafa, Mamat Norrlaili, Shapiee Mohd Rivaie, Mohd Ali A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization
description	Conjugate gradient (CG) methods are important in solving unconstrained optimization especially for large-scale unconstrained optimization. In this paper, we proposed a new simple CG coefficient. The global convergence result is established by using exact line search. Numerical results based on number of iterations and CPU time. Numerical result shows that our method is efficient when compared to the other CG coefficients for a given standard test problems.
format	Article
author	Mustafa, Mamat Norrlaili, Shapiee Mohd Rivaie, Mohd Ali
author_facet	Mustafa, Mamat Norrlaili, Shapiee Mohd Rivaie, Mohd Ali
author_sort	Mustafa, Mamat
title	A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization
title_short	A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization
title_full	A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization
title_fullStr	A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization
title_full_unstemmed	A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization
title_sort	new simple conjugate gradient coefficient for unconstrained optimization
publisher	HIKARI Ltd.
publishDate	2015
url	http://eprints.unisza.edu.my/6235/1/FH02-FIK-15-03339.pdf http://eprints.unisza.edu.my/6235/2/FH02-FIK-15-03432.jpg http://eprints.unisza.edu.my/6235/
_version_	1744358549501247488

A New Simple Conjugate Gradient Coefficient for Unconstrained Optimization

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