Best Nonnegative Rank-One Approximations of Tensors
Best Nonnegative Rank-One Approximations of Tensors
In this paper, we study the polynomial optimization problem of a multiform over the intersection of the multisphere and the nonnegative orthants. This class of problems is NP-hard in general and includes the problem of finding the best nonnegative rank-one approximation of a given tensor. A Positivstellensatz is given for …