Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli

Conjugate gradient (CG) method is widely used in unconstrained optimization problems. Most studies have shown that CG is capable of handling unconstrained optimization techniques due to its simple algorithm, which requires little memory storage. It also satisfied global convergence properties. Three...

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Main Author:	Zulkifli, Muhammad Fiqhi
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Algorithms
Online Access:	https://ir.uitm.edu.my/id/eprint/97153/1/97153.pdf
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id	my-uitm-ir.97153
record_format	uketd_dc
spelling	my-uitm-ir.971532024-06-24T16:50:29Z Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli 2023 Zulkifli, Muhammad Fiqhi Algorithms Conjugate gradient (CG) method is widely used in unconstrained optimization problems. Most studies have shown that CG is capable of handling unconstrained optimization techniques due to its simple algorithm, which requires little memory storage. It also satisfied global convergence properties. Three coefficients, Rivaie- Ismail-Mustafa-Leong (RMIL+), Dai-Yuan (DY) and Conjugate-Descent (CD) are exerted into three-term CG method under Armijo line search to determine the most efficient method. Other than that, the application of CG method in regression analysis is not widely used. Thus, research is made to compare these methods by using MATLAB R2022b subroutine programming. Several initial points with different dimensions are chosen. The effectiveness and reliability of the suggested method are demonstrated by numerical results including NOI and CPU time. TTDY is the most effective method based on numerical results but only TTRMIL+ can be applied in regression analysis. 2023 Thesis https://ir.uitm.edu.my/id/eprint/97153/ https://ir.uitm.edu.my/id/eprint/97153/1/97153.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Zull Pakkal, Norhaslinda
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Zull Pakkal, Norhaslinda
topic	Algorithms
spellingShingle	Algorithms Zulkifli, Muhammad Fiqhi Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli
description	Conjugate gradient (CG) method is widely used in unconstrained optimization problems. Most studies have shown that CG is capable of handling unconstrained optimization techniques due to its simple algorithm, which requires little memory storage. It also satisfied global convergence properties. Three coefficients, Rivaie- Ismail-Mustafa-Leong (RMIL+), Dai-Yuan (DY) and Conjugate-Descent (CD) are exerted into three-term CG method under Armijo line search to determine the most efficient method. Other than that, the application of CG method in regression analysis is not widely used. Thus, research is made to compare these methods by using MATLAB R2022b subroutine programming. Several initial points with different dimensions are chosen. The effectiveness and reliability of the suggested method are demonstrated by numerical results including NOI and CPU time. TTDY is the most effective method based on numerical results but only TTRMIL+ can be applied in regression analysis.
format	Thesis
qualification_level	Bachelor degree
author	Zulkifli, Muhammad Fiqhi
author_facet	Zulkifli, Muhammad Fiqhi
author_sort	Zulkifli, Muhammad Fiqhi
title	Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli
title_short	Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli
title_full	Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli
title_fullStr	Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli
title_full_unstemmed	Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli
title_sort	three-term conjugate gradient method under armijo line search for unemployment rate in malaysia / muhammad fiqhi zulkifli
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/97153/1/97153.pdf
_version_	1804890015021400064

Three-term conjugate gradient method under Armijo line search for unemployment rate in Malaysia / Muhammad Fiqhi Zulkifli

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