A Three-terms Conjugate Gradient Algorithm for Solving Large-Scale Systems of Nonlinear Equations
Subject Areas : International Journal of Mathematical Modelling & Computations
1 - Bayero University Kano
Keywords: systems of nonlinear equations, Unconstrained optimization, Conjugate gradient, Derivative free line saerch,
Abstract :
Nonlinear conjugate gradient method is well known in solving large-scale unconstrained optimization problems due to it’s low storage requirement and simple to implement. Research activities on it’s application to handle higher dimensional systems of nonlinear equations are just beginning. This paper presents a Threeterm Conjugate Gradient algorithm for solving Large-Scale systems of nonlinear equations by incoporating the hyperplane projection and Powel restart approach. 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.