## Accelerated gradient methods on the Grassmann and Stiefel manifolds

In this paper we extend the nonconvex version of Nesterovâ€™s accelerated gradient (AG) method to optimization over the Grassmann and Stiefel manifolds. We propose an exponential-based AG algorithm for the Grassmann manifold and a retraction-based AG algorithm that exploits the Cayley transform for both of the Grassmann and Stiefel manifolds. Under some mild assumptions, we … Read more