A modified conjugate gradient coefficient under exact line search for unconstrained optimization

The conjugate gradient (CG) method is a well-known solver for large-scale unconstrained optimization problems. In this paper, a modified CG method based on AMR* and CD method is presented. The resulting algorithm for the new CG method is proved to be globally convergent under exact line search both...

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Published in:International Journal of Engineering and Technology(UAE)
Main Author: 'Aini N.; Hajar N.; Rivaie M.; Mamat M.
Format: Article
Language:English
Published: Science Publishing Corporation Inc 2018
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076105320&partnerID=40&md5=74856ca33d2f1cec66a970563a029a62
id 2-s2.0-85076105320
spelling 2-s2.0-85076105320
'Aini N.; Hajar N.; Rivaie M.; Mamat M.
A modified conjugate gradient coefficient under exact line search for unconstrained optimization
2018
International Journal of Engineering and Technology(UAE)
7
3.28 Special Issue 28

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076105320&partnerID=40&md5=74856ca33d2f1cec66a970563a029a62
The conjugate gradient (CG) method is a well-known solver for large-scale unconstrained optimization problems. In this paper, a modified CG method based on AMR* and CD method is presented. The resulting algorithm for the new CG method is proved to be globally convergent under exact line search both under some mild conditions. Comparisons of numerical performance are made involving the new method and four other CG methods. The results show that the proposed method is more efficient. © 2018 Authors.
Science Publishing Corporation Inc
2227524X
English
Article

author 'Aini N.; Hajar N.; Rivaie M.; Mamat M.
spellingShingle 'Aini N.; Hajar N.; Rivaie M.; Mamat M.
A modified conjugate gradient coefficient under exact line search for unconstrained optimization
author_facet 'Aini N.; Hajar N.; Rivaie M.; Mamat M.
author_sort 'Aini N.; Hajar N.; Rivaie M.; Mamat M.
title A modified conjugate gradient coefficient under exact line search for unconstrained optimization
title_short A modified conjugate gradient coefficient under exact line search for unconstrained optimization
title_full A modified conjugate gradient coefficient under exact line search for unconstrained optimization
title_fullStr A modified conjugate gradient coefficient under exact line search for unconstrained optimization
title_full_unstemmed A modified conjugate gradient coefficient under exact line search for unconstrained optimization
title_sort A modified conjugate gradient coefficient under exact line search for unconstrained optimization
publishDate 2018
container_title International Journal of Engineering and Technology(UAE)
container_volume 7
container_issue 3.28 Special Issue 28
doi_str_mv
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076105320&partnerID=40&md5=74856ca33d2f1cec66a970563a029a62
description The conjugate gradient (CG) method is a well-known solver for large-scale unconstrained optimization problems. In this paper, a modified CG method based on AMR* and CD method is presented. The resulting algorithm for the new CG method is proved to be globally convergent under exact line search both under some mild conditions. Comparisons of numerical performance are made involving the new method and four other CG methods. The results show that the proposed method is more efficient. © 2018 Authors.
publisher Science Publishing Corporation Inc
issn 2227524X
language English
format Article
accesstype
record_format scopus
collection Scopus
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