Comment on “A new three-term conjugate gradient method for unconstrained problem”

Abstract

Here, necessary corrections on computing an optimal parameter of the TTDES method of Andrei (Numer. Math. 68(2), 305-321 2015) are stated in brief. Throughout, we use the same notations and equation numbers as in N.Andrei.

Some modified Yabe–Takano conjugate gradient methods with sufficient descent condition

“…The papers by Hager and Zhang [23], Dai and Kou [7], Y. Narushima, H. Yabe and J.A. Ford [31], Zhang, Zhou and Li [41], Cheng [6], Andrei [2,3], Yu [36] and Dong [11][12][13][14][15][16] proposed several conjugate gradient methods together with their global convergence, in which their search directions satisfy (1.8) independently of the line search used. Extensive numerical results showed the exploitation of new techniques greatly enhance the numerical efficiency.…”