Comments on a new class of nonlinear conjugate gradient coefficients with global convergence properties

In Rivaie et al. (2012) [1], an efficient CG algorithm has been proposed for solving unconstrained optimization problems. However, due to a wrong inequality (3.3) used in Rivaie et al., the proof of Theorem 2 and the global convergence Theorem 3 are not correct. We present the necessary corrections, then the proposed method in Rivaie et al. still converges globally. Finally, we report some numerical comparisons.