Two Versions of the Spectral Nonlinear Conjugate Gradient Method

Abstract

The nonlinear conjugate gradient method is widely used to solve unconstrained optimization problems. In this paper the development of different versions of nonlinear conjugate gradient methods with global convergence properties proved. Numerical results indicated that the proposed method is very efficient.

Keywords

• Conjugate gradient, Spectral conjugate gradient, Descent condition, Global convergence, Numerical results.