In this paper, we take a little modification to the Wei-Yao-Liu nonlinear conjugate gradient 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] such that the modified method possesses better convergence properties. In fact, we prove that the modified method satisfies sufficient descent condition with greater parameter σ ∈ fenced(0, frac(1, 2)) in the strong Wolfe line search and converges globally for nonconvex minimization. We als...