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L. Muhammad
Northwest University
Earth & Planetary Sciences Environmental Science Materials Science & Nanotechnology Mathematics Physics

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A Simple Three-term Conjugate Gradient Algorithm for Solving Symmetric Systems of Nonlinear Equations M. Y. Waziri; L. Muhammad; J. Sabi’u
International Journal of Advances in Applied Sciences Vol 5, No 3: September 2016
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (853.625 KB) | DOI: 10.11591/ijaas.v5.i3.pp118-127

Abstract

This paper presents a simple three-terms Conjugate Gradient algorithm for solving Large-Scale systems of nonlinear equations without computing Jacobian and gradient via the special structure of the underlying function. This three term CG of the proposed method has an advantage of solving relatively large-scale problems, with lower storage requirement compared to some existing methods. By incoporating the Powel restart approach in to the algorithm, we prove the global convergence of the proposed method with a derivative free line search under suitable assumtions. The numerical results are presented which show that the proposed method is promising.
Co-Authors J. Sabi’u M. Y. Waziri