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Comparison of the AIM conjugate gradient method under exact and inexact line search for solving unconstrained optimization problems


Citation

Za’aba, Fatin Nadhirah and Marjugi, Siti Mahani (2021) Comparison of the AIM conjugate gradient method under exact and inexact line search for solving unconstrained optimization problems. Discovering Mathematics, 43 (2). 101 - 110. ISSN 2231-7023

Abstract

The nonlinear conjugate gradient (CG) method is essential in solving large-scale unconstrained optimization problems due to its simplicity and low memory requirement. Numerous studies and improvements have been made recently to improve this strategy. Hence, this study will create a modified CG method with inexact line search, Strong Wolfe-Powell conditions. The global convergence and sufficient descent properties are established by using an inexact line search. The numerical result demonstrates that the modified method with inexact line search is superior and more efficient when compared to other CG methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: Malaysian Mathematical Science Society
Keywords: Conjugate gradient; Unconstrained optimization; Inexact line search; Strong Wolfe-Powell
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 11 Jan 2023 09:06
Last Modified: 11 Jan 2023 09:06
URI: http://psasir.upm.edu.my/id/eprint/96474
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