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

Abstract

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