The Wei-Yao-Liu (WYL) method proposed by Wei et al. [Z. Wei, S. Yao, L. Liu, The convergence properties of some new conjugate gradient methods, Appl. Math. Comput. 183 (2006) 1341-1350] has been proved to converge globally for uniformly convex functions with exact line search and nonconvex functions with the strong Wolfe line search if the parameter σ∈(0,1/4). In this paper, we further study the global convergence properties of the WYL method. We show that this method still converges globally for nonconvex optimization when the strong Wolfe l...