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A new modified RMIL CG method with global convergence properties

The Conjugate Gradient (CG) method is an approach commonly used to solve large-scale optimization issues. This method is considered efficient for its properties of global convergence and low requirements for memory. In this study, we proposed a novel CG coefficient γ using the method developed by...

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Main Authors: Yousef A. Baker, El-Ebiary, Mustafa, Mamat, Rivaie, M
Format: Conference or Workshop Item
Language:English
Published: 2019
Subjects:
QA Mathematics
T Technology (General)
Online Access:http://eprints.unisza.edu.my/1899/1/FH03-FIK-20-36378.pdf
http://eprints.unisza.edu.my/1899/
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spelling my-unisza-ir.18992020-11-24T03:29:55Z http://eprints.unisza.edu.my/1899/ A new modified RMIL CG method with global convergence properties Yousef A. Baker, El-Ebiary Mustafa, Mamat Rivaie, M QA Mathematics T Technology (General) The Conjugate Gradient (CG) method is an approach commonly used to solve large-scale optimization issues. This method is considered efficient for its properties of global convergence and low requirements for memory. In this study, we proposed a novel CG coefficient γ using the method developed by Rivaie-Mustafa-Ismail-Leong (RMIL). The suggested technique is shown to have global convergence under exact line search. This is reinforced by the numerical test results, which concurrently indicate that the new CG method is more efficient in comparison with the current CG methods. 2019 Conference or Workshop Item NonPeerReviewed text en http://eprints.unisza.edu.my/1899/1/FH03-FIK-20-36378.pdf Yousef A. Baker, El-Ebiary and Mustafa, Mamat and Rivaie, M (2019) A new modified RMIL CG method with global convergence properties. In: 1st International Conference on Mathematical Sciences and Technology 2018, 10-12 December 2018, Penang; Malaysia.
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
topic QA Mathematics
T Technology (General)
spellingShingle QA Mathematics
T Technology (General)
Yousef A. Baker, El-Ebiary
Mustafa, Mamat
Rivaie, M
A new modified RMIL CG method with global convergence properties
description The Conjugate Gradient (CG) method is an approach commonly used to solve large-scale optimization issues. This method is considered efficient for its properties of global convergence and low requirements for memory. In this study, we proposed a novel CG coefficient γ using the method developed by Rivaie-Mustafa-Ismail-Leong (RMIL). The suggested technique is shown to have global convergence under exact line search. This is reinforced by the numerical test results, which concurrently indicate that the new CG method is more efficient in comparison with the current CG methods.
format Conference or Workshop Item
author Yousef A. Baker, El-Ebiary
Mustafa, Mamat
Rivaie, M
author_facet Yousef A. Baker, El-Ebiary
Mustafa, Mamat
Rivaie, M
author_sort Yousef A. Baker, El-Ebiary
title A new modified RMIL CG method with global convergence properties
title_short A new modified RMIL CG method with global convergence properties
title_full A new modified RMIL CG method with global convergence properties
title_fullStr A new modified RMIL CG method with global convergence properties
title_full_unstemmed A new modified RMIL CG method with global convergence properties
title_sort new modified rmil cg method with global convergence properties
publishDate 2019
url http://eprints.unisza.edu.my/1899/1/FH03-FIK-20-36378.pdf
http://eprints.unisza.edu.my/1899/
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score 13.211869

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