THREE-TERM HYBRID BFGS-CG METHOD FOR SOLVING UNCONSTRAINED OPTIMIZATION PROBLEMS

OKUNDALAYE, O. O. (2018) THREE-TERM HYBRID BFGS-CG METHOD FOR SOLVING UNCONSTRAINED OPTIMIZATION PROBLEMS. Asian Journal of Mathematics and Computer Research, 25 (1). pp. 8-17.

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Abstract

In solving unconstrained optimization problems, both quasi-Newton and conjugate gradient methods are known to be efficient methods. Hence, three-term Broyden-Flethcher-Goldfarb-Shanno-Conjugate Gradient method is proposed, which combines the strength of both BFGS and CG methods. The method is based on an existing hybrid BFGS-CG method. The Three-term BFGS-CG method, when utilized in solving some selected unconstrained optimization problems, resulted in improvement in the total number of iterations and CPU time. I also prove that the hybrid method is globally convergent.

Item Type: Article
Subjects: Science Global Plos > Mathematical Science
Depositing User: Unnamed user with email support@science.globalplos.com
Date Deposited: 09 Dec 2023 05:09
Last Modified: 09 Dec 2023 05:09
URI: http://ebooks.manu2sent.com/id/eprint/2310

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