A class of nonmonotone spectral conjugate gradient methods with the generalized quasi-Newton equation

Abstract

In order to solve the large-scale unconstraint optimization in engineering and management. In this paper, we combine spectral conjugate gradient methods with the generalized quasi-Newton condition, and construct a class of nonmonotone spectral conjugate gradient methods. According to different parameters alternative, a comparison to different parameters are given. Numerical experiments show that this class of nonmonotone spectral conjugate gradient methods are competitive.