A class of hybrid conjugate gradient projection methods for equality constrained optimization problem

In this paper,a class of hybrid conjugate gradient methods were proposed,and they were applied to solve the linear equality constrained optimization problem combined with the Rosen gradient projection method.This new hybrid conjugate gradient projection method was effectivly improved the convergence rate of the Rosen gradient projection method,and the global convergence of the algorithm was proved under the Wolfe line search conditions.