Robust Eigenvectors of Symmetric Tensors

The {\em tensor power method} generalizes the matrix method to higher order arrays, or tensors. Like in case, fixed points of are eigenvectors tensor. While every real symmetric has an eigendecomposition, vectors generating a decomposition not always In this paper we show that whenever eigenvector is} generator tensor, then (if is sufficiently high) robust} , i.e., it attracting point method. We exhibit new classes tensors whose consists eigenvectors. Generalizing orthogonally decomposable tensors, consider equiangular tight frame decomposable} and set Our main result implies such can be decomposed using