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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Bibliographic Details
Main Authors: Mohammed Yusuf Waziri, Yusuf Muhammad Kufena, Abubakar Sani Halilu
Format: Article
Language:English
Published: Elsevier 2022-03-01
Series:Results in Control and Optimization
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666720721000412
Description
Summary: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.
ISSN:2666-7207