Application of spectral conjugate gradient methods for solving unconstrained optimization problems

Application of spectral conjugate gradient methods for solving unconstrained optimization problems

Conjugate gradient (CG) methods are among the most efficient numerical methods for solving unconstrained optimization problems. This is due to their simplicty and  less computational cost in solving large-scale nonlinear problems. In this paper, we proposed some spectral CG methods using the classic...

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Bibliographic Details
Main Authors: Sulaiman Mohammed Ibrahim, Usman Abbas Yakubu, Mustafa Mamat
Format: Article
Language:English
Published: Balikesir University 2020-06-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Sufficient descent property
Exact line search
Regression analysis
Spectral CG
Online Access:http://www.ijocta.org/index.php/files/article/view/859
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spelling doaj-47f61b1a12264983a4cc189040fef5312021-03-09T02:14:08ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032020-06-0110210.11121/ijocta.01.2020.00859Application of spectral conjugate gradient methods for solving unconstrained optimization problemsSulaiman Mohammed Ibrahim0Usman Abbas Yakubu1Mustafa Mamat2Universiti Sultan Zainal Abidin, Gong Badak Campus, Kuala Terengganu, 21300, MalaysiaDepartment of Mathematics, Yusuf Maitama Sule University, Kano, NigeriaFaculty of Informatics and Computing, University Sultan Zainal Abidin, Terengganu, MalaysiaConjugate gradient (CG) methods are among the most efficient numerical methods for solving unconstrained optimization problems. This is due to their simplicty and  less computational cost in solving large-scale nonlinear problems. In this paper, we proposed some spectral CG methods using the classical CG search direction. The proposed methods are applied to real-life problems in regression analysis. Their convergence proof was establised under exact line search. Numerical results has shown that the proposed methods are efficient and promising. http://www.ijocta.org/index.php/files/article/view/859Sufficient descent propertyExact line searchRegression analysisSpectral CG
collection DOAJ
language English
format Article
sources DOAJ
author Sulaiman Mohammed Ibrahim
Usman Abbas Yakubu
Mustafa Mamat
spellingShingle Sulaiman Mohammed Ibrahim
Usman Abbas Yakubu
Mustafa Mamat
Application of spectral conjugate gradient methods for solving unconstrained optimization problems
An International Journal of Optimization and Control: Theories & Applications
Sufficient descent property
Exact line search
Regression analysis
Spectral CG
author_facet Sulaiman Mohammed Ibrahim
Usman Abbas Yakubu
Mustafa Mamat
author_sort Sulaiman Mohammed Ibrahim
title Application of spectral conjugate gradient methods for solving unconstrained optimization problems
title_short Application of spectral conjugate gradient methods for solving unconstrained optimization problems
title_full Application of spectral conjugate gradient methods for solving unconstrained optimization problems
title_fullStr Application of spectral conjugate gradient methods for solving unconstrained optimization problems
title_full_unstemmed Application of spectral conjugate gradient methods for solving unconstrained optimization problems
title_sort application of spectral conjugate gradient methods for solving unconstrained optimization problems
publisher Balikesir University
series An International Journal of Optimization and Control: Theories & Applications
issn 2146-0957
2146-5703
publishDate 2020-06-01
description Conjugate gradient (CG) methods are among the most efficient numerical methods for solving unconstrained optimization problems. This is due to their simplicty and  less computational cost in solving large-scale nonlinear problems. In this paper, we proposed some spectral CG methods using the classical CG search direction. The proposed methods are applied to real-life problems in regression analysis. Their convergence proof was establised under exact line search. Numerical results has shown that the proposed methods are efficient and promising.
topic Sufficient descent property
Exact line search
Regression analysis
Spectral CG
url http://www.ijocta.org/index.php/files/article/view/859
work_keys_str_mv AT sulaimanmohammedibrahim applicationofspectralconjugategradientmethodsforsolvingunconstrainedoptimizationproblems
AT usmanabbasyakubu applicationofspectralconjugategradientmethodsforsolvingunconstrainedoptimizationproblems
AT mustafamamat applicationofspectralconjugategradientmethodsforsolvingunconstrainedoptimizationproblems
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