In this paper, on the basis of the DFP method a class of non-quasi-Newton methods is presented. Under some condition the global convergence property of these methods with Goldstein line search on uniformly convex objective function is proved.
Zhang, Changhai; Song, Kaoping; and Wang, Yuxue, "A New Class of Non-Quest-Newton Methods and Their Global Convergence with Goldstein Line Search" (2001). ICEB 2001 Proceedings. 96.