Research Article
Ruyue Hou, Ke Su and Zixing Ro
Abstract
In this paper, we combine spectral Conjugate Gradient method which combines the conjugate gradient direction with spectral step-length effectively with a non-monotone line search technique and we obtain a new algorithm. besides, in this spectral Conjugate Gradient method the spectral step-length is applied to the entire Conjugate Gradient direction rather than the negative gradient direction, The global convergent properties of the algorithm are proved under some appropriate conditions