A new family of Dai-Liao conjugate gradient methods with modified secant equation for unconstrained optimization

In this paper, a new family of Dai-Liao–type conjugate gradient methods are proposed for unconstrained optimization problem. the methods, modified secant equation used in [H. Yabe and M. Takano, Comput. Optim. Appl. 28 (2004) 203–225] is considered Dai Liao’s conjugacy condition. Under some certain assumptions, we show that our globally convergent general functions with strong Wolfe line search. Numerical results illustrate can outperform existing ones.