Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations

We propose a new three-term spectral conjugate gradient method via double direction approach by considering the first direction to be the one proposed by Halilu and Waziri (2018) and the other obtained by extending the direction proposed by Birgin and Mertinez (2001) to three-term spectral conjugate...

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Autores principales:	Mohammed Yusuf Waziri, Yusuf Muhammad Kufena, Abubakar Sani Halilu
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Double direction Spectral conjugate gradient method Secant condition Descent condition Global convergence Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/87bd465ae94b4831b44833a572ceea3f
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spelling	oai:doaj.org-article:87bd465ae94b4831b44833a572ceea3f2021-12-02T05:04:10ZDouble direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations2666-720710.1016/j.rico.2021.100072https://doaj.org/article/87bd465ae94b4831b44833a572ceea3f2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666720721000412https://doaj.org/toc/2666-7207We propose a new three-term spectral conjugate gradient method via double direction approach by considering the first direction to be the one proposed by Halilu and Waziri (2018) and the other obtained by extending the direction proposed by Birgin and Mertinez (2001) to three-term spectral conjugate gradient (CG) direction. The propose method generates a descent direction via an inexact line search. The global convergence of the propose algorithm was established under appropriate conditions and numerical experiments on some benchmark test problems demonstrate its efficiency over some existing ones.Mohammed Yusuf WaziriYusuf Muhammad KufenaAbubakar Sani HaliluElsevierarticleDouble directionSpectral conjugate gradient methodSecant conditionDescent conditionGlobal convergenceApplied mathematics. Quantitative methodsT57-57.97ENResults in Control and Optimization, Vol 6, Iss , Pp 100072- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Double direction Spectral conjugate gradient method Secant condition Descent condition Global convergence Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Double direction Spectral conjugate gradient method Secant condition Descent condition Global convergence Applied mathematics. Quantitative methods T57-57.97 Mohammed Yusuf Waziri Yusuf Muhammad Kufena Abubakar Sani Halilu Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations
description	We propose a new three-term spectral conjugate gradient method via double direction approach by considering the first direction to be the one proposed by Halilu and Waziri (2018) and the other obtained by extending the direction proposed by Birgin and Mertinez (2001) to three-term spectral conjugate gradient (CG) direction. The propose method generates a descent direction via an inexact line search. The global convergence of the propose algorithm was established under appropriate conditions and numerical experiments on some benchmark test problems demonstrate its efficiency over some existing ones.
format	article
author	Mohammed Yusuf Waziri Yusuf Muhammad Kufena Abubakar Sani Halilu
author_facet	Mohammed Yusuf Waziri Yusuf Muhammad Kufena Abubakar Sani Halilu
author_sort	Mohammed Yusuf Waziri
title	Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations
title_short	Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations
title_full	Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations
title_fullStr	Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations
title_full_unstemmed	Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations
title_sort	double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/87bd465ae94b4831b44833a572ceea3f
work_keys_str_mv	AT mohammedyusufwaziri doubledirectionthreetermspectralconjugategradientmethodforsolvingsymmetricnonlinearequations AT yusufmuhammadkufena doubledirectionthreetermspectralconjugategradientmethodforsolvingsymmetricnonlinearequations AT abubakarsanihalilu doubledirectionthreetermspectralconjugategradientmethodforsolvingsymmetricnonlinearequations
_version_	1718400662725722112

Double direction three-term spectral conjugate gradient method for solving symmetric nonlinear equations

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