3
Published
2023-08-16
Section
Articles
License
Copyright (c) 2023 Z.S. Ahmed, S.S. Mahmood
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
New Formula for Conjugate Gradient Method to Unconstrained Optimization
Z.S. Ahmed
S.S. Mahmood
DOI: https://doi.org/10.47831/mjpas.v1i2.27
Keywords: conjugate gradient method, objective function, descent direction, conjugate property, unconstrained optimization.
Abstract
This study presents a new conjugate gradient formula (CGM), which is obtained by fulfilling two conditions, firstly the conjugate property and secondly the descent property, in order to address the issue of unconstrained optimization. The gradient, which is the initial derivative of the objective function, is a continuous Lipchitz work and the objective function is differentiable. Using a new variable that serves as the gradient for the objective coefficient function, to create a new course of action based on the old variable and to validate the effectiveness of the new CDM, the table with total iterations and job evaluation was used to display the results of our new methodology using the MATLAB application
