A New Modified Conjugate Gradient for Nonlinear Minimization Problems

The conjugate gradient is a highly effective technique to solve the unconstrained nonlinear minimization problems and it is one of the most well-known methods. It has a lot of applications. For large-scale, unconstrained minimization problems, conjugate gradient techniques are widely applied. In thi...

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Bibliographic Details
Main Authors: Hussein Ageel Khatab, Salah G. Sharef
Format: Article
Language:English
Published: University of Zakho 2022-10-01
Series:Science Journal of University of Zakho
Subjects:
Online Access:http://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/933
Description
Summary:The conjugate gradient is a highly effective technique to solve the unconstrained nonlinear minimization problems and it is one of the most well-known methods. It has a lot of applications. For large-scale, unconstrained minimization problems, conjugate gradient techniques are widely applied. In this paper, we will suggest a new parameter of conjugate gradient to solve the nonlinear unconstrained minimization problems, based on parameter of Dai and Liao. We will  study  the property of the  descent ,the property of the sufficient descent and  property of the global convergence a new method. We introduce some numerical data to prove the efficacy of the our method.
ISSN:2663-628X
2663-6298