A conjugate gradient method with inexact line search for unconstrained optimization

In this paper, an efficient nonlinear modified PRP conjugate gradient method is presented for solving large-scale unconstrained optimization problems. The sufficient descent property is satisfied under strong Wolfe-Powell (SWP) line search by restricting the parameter  1/ 4 . The global convergenc...

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Main Authors:	Mustafa, Mamat, Mohamed, Hamoda, Mohd, Rivaie
Format:	Article
Language:	English English
Published:	HIKARI Ltd. 2015
Subjects:	QA Mathematics
Online Access:	http://eprints.unisza.edu.my/6234/1/FH02-FIK-15-03335.pdf http://eprints.unisza.edu.my/6234/2/FH02-FIK-15-03429.jpg http://eprints.unisza.edu.my/6234/
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Institution:	Universiti Sultan Zainal Abidin
Language:	English English

id	my-unisza-ir.6234
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spelling	my-unisza-ir.62342022-09-13T05:47:26Z http://eprints.unisza.edu.my/6234/ A conjugate gradient method with inexact line search for unconstrained optimization Mustafa, Mamat Mohamed, Hamoda Mohd, Rivaie QA Mathematics In this paper, an efficient nonlinear modified PRP conjugate gradient method is presented for solving large-scale unconstrained optimization problems. The sufficient descent property is satisfied under strong Wolfe-Powell (SWP) line search by restricting the parameter  1/ 4 . The global convergence result is established under the (SWP) line search conditions. Numerical results, for a set consisting of 133 unconstrained optimization test problems, show that this method is better than the PRP method and the FR method. HIKARI Ltd. 2015 Article PeerReviewed text en http://eprints.unisza.edu.my/6234/1/FH02-FIK-15-03335.pdf image en http://eprints.unisza.edu.my/6234/2/FH02-FIK-15-03429.jpg Mustafa, Mamat and Mohamed, Hamoda and Mohd, Rivaie (2015) A conjugate gradient method with inexact line search for unconstrained optimization. Applied Mathematical Sciences, 9 (37). pp. 1823-1832. 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
spellingShingle	QA Mathematics Mustafa, Mamat Mohamed, Hamoda Mohd, Rivaie A conjugate gradient method with inexact line search for unconstrained optimization
description	In this paper, an efficient nonlinear modified PRP conjugate gradient method is presented for solving large-scale unconstrained optimization problems. The sufficient descent property is satisfied under strong Wolfe-Powell (SWP) line search by restricting the parameter  1/ 4 . The global convergence result is established under the (SWP) line search conditions. Numerical results, for a set consisting of 133 unconstrained optimization test problems, show that this method is better than the PRP method and the FR method.
format	Article
author	Mustafa, Mamat Mohamed, Hamoda Mohd, Rivaie
author_facet	Mustafa, Mamat Mohamed, Hamoda Mohd, Rivaie
author_sort	Mustafa, Mamat
title	A conjugate gradient method with inexact line search for unconstrained optimization
title_short	A conjugate gradient method with inexact line search for unconstrained optimization
title_full	A conjugate gradient method with inexact line search for unconstrained optimization
title_fullStr	A conjugate gradient method with inexact line search for unconstrained optimization
title_full_unstemmed	A conjugate gradient method with inexact line search for unconstrained optimization
title_sort	conjugate gradient method with inexact line search for unconstrained optimization
publisher	HIKARI Ltd.
publishDate	2015
url	http://eprints.unisza.edu.my/6234/1/FH02-FIK-15-03335.pdf http://eprints.unisza.edu.my/6234/2/FH02-FIK-15-03429.jpg http://eprints.unisza.edu.my/6234/
_version_	1744358549374369792

A conjugate gradient method with inexact line search for unconstrained optimization

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