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A New Hybrid Approach for Solving Large-scale Monotone Nonlinear Equations

Article scientifique 2020 Anglais

Résumé

In this paper, a new hybrid conjugate gradient method for solving monotone nonlinear equations is introduced. The scheme is a combination of the Fletcher-Reeves (FR) and Polak-Ribiére-Polyak (PRP) conjugate gradient methods with the Solodov and Svaiter projection strategy. Using suitable assumptions, the global convergence of the scheme with monotone line search is provided. Lastly, a numerical experiment was used to enumerate the suitability of the proposed scheme for large-scale problems.

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Sabi’u, J., Shah, A., Waziri, M., Dauda, M. (2020). A New Hybrid Approach for Solving Large-scale Monotone Nonlinear Equations. https://doi.org/10.5614/j.math.fund.sci.2020.52.1.2

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Auteur(s)

Jamilu Sabi’u Abdullah Shah Mohammed Yusuf Waziri Muhammad Kabir Dauda

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