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The Global Convergence Properties of an Improved Conjugate Gradient Method

Conjugate gradient (CG) methods have played a significant role in solving large scale unconstrained optimization. This is due to its simplicity, low memory requirement, and global convergence properties. Various studies and modifications have been done recently to improve this method. In this paper,...

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Main Authors: Fatma Susilawati, Mohamad, Mustafa, Mamat, Ibrahim Sulaiman, Mohammed
Format: Article
Language:English
English
Published: HIKARI Ltd. 2015
Subjects:
QA Mathematics
QA75 Electronic computers. Computer science
Online Access:http://eprints.unisza.edu.my/6250/1/FH02-FIK-15-03343.pdf
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spelling my-unisza-ir.62502022-09-13T04:57:29Z http://eprints.unisza.edu.my/6250/ The Global Convergence Properties of an Improved Conjugate Gradient Method Fatma Susilawati, Mohamad Mustafa, Mamat Ibrahim Sulaiman, Mohammed QA Mathematics QA75 Electronic computers. Computer science Conjugate gradient (CG) methods have played a significant role in solving large scale unconstrained optimization. This is due to its simplicity, low memory requirement, and global convergence properties. Various studies and modifications have been done recently to improve this method. In this paper, we proposed a new conjugate gradient parameter ( )  k which possesses global convergence properties under the exact line search. Numerical result shows that our new formula performs better when compared to other classical conjugate gradient methods. HIKARI Ltd. 2015 Article PeerReviewed text en http://eprints.unisza.edu.my/6250/1/FH02-FIK-15-03343.pdf image en http://eprints.unisza.edu.my/6250/2/FH02-FIK-15-03435.jpg Fatma Susilawati, Mohamad and Mustafa, Mamat and Ibrahim Sulaiman, Mohammed (2015) The Global Convergence Properties of an Improved Conjugate Gradient Method. Applied Mathematical Sciences, 9 (38). pp. 1857-1868. 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
Fatma Susilawati, Mohamad
Mustafa, Mamat
Ibrahim Sulaiman, Mohammed
The Global Convergence Properties of an Improved Conjugate Gradient Method
description Conjugate gradient (CG) methods have played a significant role in solving large scale unconstrained optimization. This is due to its simplicity, low memory requirement, and global convergence properties. Various studies and modifications have been done recently to improve this method. In this paper, we proposed a new conjugate gradient parameter ( )  k which possesses global convergence properties under the exact line search. Numerical result shows that our new formula performs better when compared to other classical conjugate gradient methods.
format Article
author Fatma Susilawati, Mohamad
Mustafa, Mamat
Ibrahim Sulaiman, Mohammed
author_facet Fatma Susilawati, Mohamad
Mustafa, Mamat
Ibrahim Sulaiman, Mohammed
author_sort Fatma Susilawati, Mohamad
title The Global Convergence Properties of an Improved Conjugate Gradient Method
title_short The Global Convergence Properties of an Improved Conjugate Gradient Method
title_full The Global Convergence Properties of an Improved Conjugate Gradient Method
title_fullStr The Global Convergence Properties of an Improved Conjugate Gradient Method
title_full_unstemmed The Global Convergence Properties of an Improved Conjugate Gradient Method
title_sort global convergence properties of an improved conjugate gradient method
publisher HIKARI Ltd.
publishDate 2015
url http://eprints.unisza.edu.my/6250/1/FH02-FIK-15-03343.pdf
http://eprints.unisza.edu.my/6250/2/FH02-FIK-15-03435.jpg
http://eprints.unisza.edu.my/6250/
_version_ 1744358549914386432
score 13.211869

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