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The purpose of this research is to propose a new choice of nonnegative parameter t in Dai–Liao conjugate gradient method.

Conjugate gradient algorithms are used to solve both constrained monotone and general systems of nonlinear equations. This is made possible by combining the conjugate gradient method with the Newton method approach via acceleration parameter in order to present a derivative-free method.

A conjugate gradient method is presented by proposing a new Dai–Liao nonnegative parameter. Furthermore the proposed method is successfully applied to handle the application in motion control of the two joint planar robotic manipulators.

The proposed algorithm is a new approach that will not either submitted or publish somewhere.