On the best rank-1 approximation to higher-order symmetric tensors
In this paper, we consider the best rank-1 approximation to higher-order symmetric tensors in the least-squares sense, and show that the best rank-1 approximation of a symmetric tensor with even order m can be determined by m/2 unit spheres and a best symmetric rank-1 approximation of a symmetric tensor with order 4 and dimension 2 is also its best rank-1 approximation. (C) 2007 Elsevier Ltd. All rights reserved.
symmetric tensors even-order tensors rank-1 tensors