A New Hybrid Dai-Yuan and Hestenes-Stiefel Conjugate Gradient Parameter for Solving System of Nonlinear Equations

Jamilu Sabi'u, Mohammed Yusuf Waziri, Abba Idris


In this research work, we suggest a new hybrid conjugate gradient parameter for solving the system of nonlinear equation by the combination of the Dai-Yuan and Hestenes-Stiefel conjugate gradient parameters. The new hybrid conjugate gradient parameter of the proposed method gives it the advantage to solve relatively large-scale problems (300,000- variables) with lower storage requirement compared to some existing methods (conjugate gradient parameter). Under the appropriate conditions, numerical results on benchmark test problems show that the proposed method is practically effective.

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MAYFEB Journal of Mathematics 
Toronto, Ontario, Canada
ISSN 2371-6193