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Mohammed Yusuf Waziri
Department of Mathematical Sciences, Bayero University Kano
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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A New Hybrid Approach for Solving Large-scale Monotone Nonlinear Equations Jamilu Sabi'u; Abdullah Shah; Mohammed Yusuf Waziri; Muhammad Kabir Dauda
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.1.2

Abstract

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.
Co-Authors Abdullah Shah Jamilu Sabi'u Muhammad Kabir Dauda