A new modified RMIL CG method with global convergence properties

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Conjugate gradient method, exact line search, global convergence, sufficient descent property
Subjects: Q Science > QA Mathematics
T Technology > T Technology (General)
Divisions: Faculty of Informatics & Computing
Depositing User: Muhammad Akmal Azhar
Date Deposited: 24 Nov 2020 03:29
Last Modified: 24 Nov 2020 03:29
URI: http://eprints.unisza.edu.my/id/eprint/1899

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