A New conjugate gradient method for unconstrained optimization problems with descent property

Volume 9, Issue 2, Article 6 - 2020

Authors: Hussein Ageel Khatab; Salah Gazi Shareef

Copyright © 2020 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

In this paper, we propose a new conjugate gradient method for solving nonlinear unconstrained optimization. The new method consists of three parts, the first part of them is the parameter of Hestenes-Stiefel (HS). The proposed method is satisfying the descent condition, sufficient descent condition and conjugacy condition. We give some numerical results to show the efficiency of the suggested method.

How To Cite This Article

H. Khatab and S. Shareef, A New conjugate gradient method for unconstrained optimization problems with descent property, General Letters in Mathematics, 9(2) (2020), 101-105. https://doi.org/10.31559/glm2020.9.2.6