A modified three-term conjugate gradient method for large –scale optimization

We propose a three-term conjugate gradient method in this paper . The basic idea is to exploit the good properties of the BFGS update. Quasi – Newton method lies a good efficient numerical computational, so we suggested to be based on BFGS method. However, the descent condition and the global conve...

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Main Authors: Zaydan B. Mohammed, Nazar K. Hussein, Zeyad M. Abdullah
Format: Article
Language:English
Published: Tikrit University 2020-03-01
Series:Tikrit Journal of Pure Science
Subjects:
Online Access:https://tjpsj.org/index.php/tjps/article/view/258
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author Zaydan B. Mohammed
Nazar K. Hussein
Zeyad M. Abdullah
author_facet Zaydan B. Mohammed
Nazar K. Hussein
Zeyad M. Abdullah
author_sort Zaydan B. Mohammed
collection DOAJ
description We propose a three-term conjugate gradient method in this paper . The basic idea is to exploit the good properties of the BFGS update. Quasi – Newton method lies a good efficient numerical computational, so we suggested to be based on BFGS method. However, the descent condition and the global convergent is proven under Wolfe condition. The new algorithm is very effective e for solving the large – scale unconstrained optimization problem.
format Article
id doaj-art-91ba535e32ec44589605b9f61abcaee9
institution Kabale University
issn 1813-1662
2415-1726
language English
publishDate 2020-03-01
publisher Tikrit University
record_format Article
series Tikrit Journal of Pure Science
spelling doaj-art-91ba535e32ec44589605b9f61abcaee92025-08-20T03:29:14ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262020-03-0125310.25130/tjps.v25i3.258A modified three-term conjugate gradient method for large –scale optimizationZaydan B. MohammedNazar K. HusseinZeyad M. Abdullah We propose a three-term conjugate gradient method in this paper . The basic idea is to exploit the good properties of the BFGS update. Quasi – Newton method lies a good efficient numerical computational, so we suggested to be based on BFGS method. However, the descent condition and the global convergent is proven under Wolfe condition. The new algorithm is very effective e for solving the large – scale unconstrained optimization problem. https://tjpsj.org/index.php/tjps/article/view/258conjugate gradient methodsunconstrained optimizationNonlinear programming
spellingShingle Zaydan B. Mohammed
Nazar K. Hussein
Zeyad M. Abdullah
A modified three-term conjugate gradient method for large –scale optimization
Tikrit Journal of Pure Science
conjugate gradient methods
unconstrained optimization
Nonlinear programming
title A modified three-term conjugate gradient method for large –scale optimization
title_full A modified three-term conjugate gradient method for large –scale optimization
title_fullStr A modified three-term conjugate gradient method for large –scale optimization
title_full_unstemmed A modified three-term conjugate gradient method for large –scale optimization
title_short A modified three-term conjugate gradient method for large –scale optimization
title_sort modified three term conjugate gradient method for large scale optimization
topic conjugate gradient methods
unconstrained optimization
Nonlinear programming
url https://tjpsj.org/index.php/tjps/article/view/258
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