A new edition of conjugate gradient methods for large-scale unconstrained optimization

Mustafa, Mamat and Ibrahim, Jusoh and Mohd, Rivaie (2014) A new edition of conjugate gradient methods for large-scale unconstrained optimization. International Journal of Mathematical Analysis, 8 (46). pp. 2277-2291. ISSN 13128876 [P]

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Abstract

Conjugate gradient (CG) methods are famous for solving nonlinear unconstrained optimization problems because they required low computational memory. In this paper, we propose a new CG coefficient ( βk ) which possesses global convergence properties using exact line search. The given method satisfies sufficient descent condition under strong Wolfe line search. Numerical results based on the number of iterations and central processing unit (CPU) time, have shown that the new βk performs better than some other well known CG methods.

Item Type: Article
Uncontrolled Keywords: conjugate gradient method, conjugate gradient coefficient, exact line search, global convergence properties
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Informatics & Computing
Depositing User: Syahmi Manaf
Date Deposited: 13 Sep 2022 05:51
Last Modified: 13 Sep 2022 05:51
URI: http://eprints.unisza.edu.my/id/eprint/5572

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