Linear Project Second Order-Cone Programme

In recent years cone constraint optimization problems has been favored by scholars, especially for the second-order cone constraints programming problem,they have carried on the detailed study, had got the corresponding theoretical achievements. In this paper, on the basis of the existing cone constraint optimization problem, we puts forward the definition of projection second-order cone ,we related properties of this cone and the corresponding convexity function, the linear projected second-order cone constraint programme problem, the dual problem, the optimality conditions ,we can converted it into corresponding second-order cone programme problems.