A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization

In this paper, a new conjugate gradient method based on exact step size which produces sufficient descent search direction at every iteration is introduced. We prove its global convergence, and give some results to illustrate its efficiency by comparing with the Polak and Ribiere method.

Bibliographic Details
Main Authors: Dr. Basim A. Hassan, Omer M. Esmaeel
Format: Article
Language:Arabic
Published: College of Computer Science and Mathematics, University of Mosul 2014-12-01
Series:المجلة العراقية للعلوم الاحصائية
Subjects:
Online Access:https://stats.mosuljournals.com/article_89208_9774a422c9ce78f054ef3f0a02b6d907.pdf
_version_ 1811337224442085376
author Dr. Basim A. Hassan
Omer M. Esmaeel
author_facet Dr. Basim A. Hassan
Omer M. Esmaeel
author_sort Dr. Basim A. Hassan
collection DOAJ
description In this paper, a new conjugate gradient method based on exact step size which produces sufficient descent search direction at every iteration is introduced. We prove its global convergence, and give some results to illustrate its efficiency by comparing with the Polak and Ribiere method.
first_indexed 2024-04-13T17:51:54Z
format Article
id doaj.art-d595653ee5ba4aa4b1a4d37b479662f3
institution Directory Open Access Journal
issn 1680-855X
2664-2956
language Arabic
last_indexed 2024-04-13T17:51:54Z
publishDate 2014-12-01
publisher College of Computer Science and Mathematics, University of Mosul
record_format Article
series المجلة العراقية للعلوم الاحصائية
spelling doaj.art-d595653ee5ba4aa4b1a4d37b479662f32022-12-22T02:36:40ZaraCollege of Computer Science and Mathematics, University of Mosulالمجلة العراقية للعلوم الاحصائية1680-855X2664-29562014-12-01141122410.33899/iqjoss.2014.8920889208A New sufficient descent Conjugate Gradient Method for Nonlinear OptimizationDr. Basim A. HassanOmer M. EsmaeelIn this paper, a new conjugate gradient method based on exact step size which produces sufficient descent search direction at every iteration is introduced. We prove its global convergence, and give some results to illustrate its efficiency by comparing with the Polak and Ribiere method.https://stats.mosuljournals.com/article_89208_9774a422c9ce78f054ef3f0a02b6d907.pdfconjugate gradient methodnonlinear optimization
spellingShingle Dr. Basim A. Hassan
Omer M. Esmaeel
A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization
المجلة العراقية للعلوم الاحصائية
conjugate gradient method
nonlinear optimization
title A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization
title_full A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization
title_fullStr A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization
title_full_unstemmed A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization
title_short A New sufficient descent Conjugate Gradient Method for Nonlinear Optimization
title_sort new sufficient descent conjugate gradient method for nonlinear optimization
topic conjugate gradient method
nonlinear optimization
url https://stats.mosuljournals.com/article_89208_9774a422c9ce78f054ef3f0a02b6d907.pdf
work_keys_str_mv AT drbasimahassan anewsufficientdescentconjugategradientmethodfornonlinearoptimization
AT omermesmaeel anewsufficientdescentconjugategradientmethodfornonlinearoptimization
AT drbasimahassan newsufficientdescentconjugategradientmethodfornonlinearoptimization
AT omermesmaeel newsufficientdescentconjugategradientmethodfornonlinearoptimization