New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization

New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization

In this paper, we suggest a new conjugate gradient method for unconstrained optimization by using homotopy theory. Our suggestion algorithm satisfies the conjugacy and descent conditions. Numerical result shows that our new algorithm is better than the standard CG algorithm with respect to the NOI a...

Full description

Bibliographic Details
Main Authors: Salah G. Shareef, Dlovan H. Omar
Format: Article
Language:English
Published: University of Zakho 2016-12-01
Series:Science Journal of University of Zakho
Subjects:
Unconstrained Optimization
Conjugate Gradient Method
Homotopy Theory
Online Access:https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/357
id doaj-825f5ed9af7d4240bd2e9ccff1b3cc2a
record_format Article
spelling doaj-825f5ed9af7d4240bd2e9ccff1b3cc2a2020-11-25T00:42:23Zeng University of ZakhoScience Journal of University of Zakho2663-628X2663-62982016-12-0142248252357New Proposed Conjugate Gradient Method for Nonlinear Unconstrained OptimizationSalah G. Shareef0Dlovan H. Omar1University of ZakhoUniversity of ZakhoIn this paper, we suggest a new conjugate gradient method for unconstrained optimization by using homotopy theory. Our suggestion algorithm satisfies the conjugacy and descent conditions. Numerical result shows that our new algorithm is better than the standard CG algorithm with respect to the NOI and NOF.https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/357Unconstrained OptimizationConjugate Gradient MethodHomotopy Theory
collection DOAJ
language English
format Article
sources DOAJ
author Salah G. Shareef
Dlovan H. Omar
spellingShingle Salah G. Shareef
Dlovan H. Omar
New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization
Science Journal of University of Zakho
Unconstrained Optimization
Conjugate Gradient Method
Homotopy Theory
author_facet Salah G. Shareef
Dlovan H. Omar
author_sort Salah G. Shareef
title New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization
title_short New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization
title_full New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization
title_fullStr New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization
title_full_unstemmed New Proposed Conjugate Gradient Method for Nonlinear Unconstrained Optimization
title_sort new proposed conjugate gradient method for nonlinear unconstrained optimization
publisher University of Zakho
series Science Journal of University of Zakho
issn 2663-628X
2663-6298
publishDate 2016-12-01
description In this paper, we suggest a new conjugate gradient method for unconstrained optimization by using homotopy theory. Our suggestion algorithm satisfies the conjugacy and descent conditions. Numerical result shows that our new algorithm is better than the standard CG algorithm with respect to the NOI and NOF.
topic Unconstrained Optimization
Conjugate Gradient Method
Homotopy Theory
url https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/357
work_keys_str_mv AT salahgshareef newproposedconjugategradientmethodfornonlinearunconstrainedoptimization
AT dlovanhomar newproposedconjugategradientmethodfornonlinearunconstrainedoptimization
_version_ 1725282858565632000

Similar Items