A Quadratic Model based Conjugate Gradient Optimization Method-Reference-Cited by-同舟云学术

A Quadratic Model based Conjugate Gradient Optimization Method

Published:2023-12-06 Issue: Volume:22 Page:925-930
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Halil Isam H.¹,Moghrabi Issam A.R.²,Fawze Ahmed A.³,Hassan Basim A.³,Khudhur Hisham M.³

Affiliation:

1. Department of Mathematics, College of Science, Kirkuk University, Kirkuk, IRAQ

2. Department of Computer Science, College of Arts and Sciences, University Central Asia, Naryn, KYRGYZ REPUBLIC

3. Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, IRAQ

Abstract

In this paper, we introduce a nonlinear scaled conjugate gradient method, operating on the premise of a descent and conjugacy relationship. The proposed algorithm employs a conjugacy parameter that is determined to ensure that the method generates conjugate directions. It also utilizes a parameter that scales the gradient to enhance the convergence behavior of the method. The derived method not only exhibits the crucial feature of global convergence but also maintains the generation of descent directions. The efficiency of the method is established through numerical tests conducted on a variety of high-dimensional nonlinear test functions. The obtained results attest to the improved behavior of the derived algorithm and support the presented theory.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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