Al-Issa, Ali Joma'a and A. Hassan, Basim and A R Moghrabi, Issam and M. Sulaiman, Ibrahim (2024) A modified Davidon-Fletcher-Powell Method for solving nonlinear optimization problems. Iraqi Journal of Science, 2020, 65 (3). pp. 1476-1484. ISSN 0067-2904

Preview

PDF - Published Version Available under License Attribution 4.0 International (CC BY 4.0). Download (340kB) | Preview

Abstract

One of the quasi-Newton update formulae, namely the Davidon-Fletcher-Powell method, is crucial for resolving nonlinear programming optimization problems. In order to achieve a Newton-like condition that depends on the function values and gradient vectors at each iteration, we construct an alternative positive-definite Hessian approximation in this study. The essential theorems are established to study algorithm convergence. The proposed approach is then tested on well-known test problems and then compared to the standard DFP method. The numerical outcomes demonstrate the effectiveness of the newly developed method

Item Type:	Article
Uncontrolled Keywords:	Quasi-Newton Methods, Nonlinear optimization, Unconstrained optimization, DFP update
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mr. Izhar Hj. Hashim
Date Deposited:	09 Nov 2026 09:09
Last Modified:	09 Nov 2026 09:09
URI:	https://repo.uum.edu.my/id/eprint/34864

Actions (login required)

View Item