Before revision:  In this paper, we propose a class of efficient numerical algorithms to fast compute the stationary states of multicomponent phase field crystal model . Our approach formulates the problem as solving a constrained non-convex minimization problem .
After revision:  In this paper, we propose a class of efficient numerical algorithms to fast compute the stationary states of the multicomponent phase-field crystal model by formulating it as a block constrained minimization problem. The original infinite-dimensional non-convex minimization problem is approximated by a finite-dimensional constrained non-convex minimization problem .