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

Abstract

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.