A Modified DY conjugate gradient method with sufficient descent property for wolfe line search

Based on the DY and DL conjugate gradient methods,a new parameter formula βk was presented,which is the same as,βDYk when the line search is exact.Based on the new formula,a new conjugate gradient algorithm with the Wolfe line search was proposed,and the sufficient descent property and the global convergence of the algorithm were proved.Preliminary numerical results show that the new method was effective and it suitable for solving nonlinear unconstrained optimization problems.