The Global Convergence Properties of an Improved Conjugate Gradient Method

Fatma Susilawati, Mohamad and Mustafa, Mamat and Ibrahim Sulaiman, Mohammed (2015) The Global Convergence Properties of an Improved Conjugate Gradient Method. Applied Mathematical Sciences, 9 (38). pp. 1857-1868. ISSN 0066-5452 [P]

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Abstract

Conjugate gradient (CG) methods have played a significant role in solving large scale unconstrained optimization. This is due to its simplicity, low memory requirement, and global convergence properties. Various studies and modifications have been done recently to improve this method. In this paper, we proposed a new conjugate gradient parameter ( )  k which possesses global convergence properties under the exact line search. Numerical result shows that our new formula performs better when compared to other classical conjugate gradient methods.

Item Type: Article
Uncontrolled Keywords: Conjugate gradient method; exact line search; global convergence
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Informatics & Computing
Depositing User: Syahmi Manaf
Date Deposited: 13 Sep 2022 04:57
Last Modified: 13 Sep 2022 04:57
URI: http://eprints.unisza.edu.my/id/eprint/6250

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