Abstract:The nonlinear FR conjugate gradient method,nonlinear PRP conjugate gradient method,nonlinear DY conjugate gradient method etc.for large scale unconstrained optimization problems were described.The nonlinear extended hybrid conjugate gradient method,which is more efficient for solving unconstrained optimization problems,was stressed and a new nonlinear extended hybrid conjugate gradient method with Wolfe type line search was proposed.The direction generated by the new method produces sufficiently descentding search direction.Under some conditions,the global convergence of the new method was investigated.Some numerical results show its efficiency.