English

Singular Vectors of Orthogonally Decomposable Tensors

Spectral Theory 2016-04-27 v2

Abstract

Orthogonal decomposition of tensors is a generalization of the singular value decomposition of matrices. In this paper, we study the spectral theory of orthogonally decomposable tensors. For such a tensor, we give a description of its singular vector tuples as a variety in a product of projective spaces.

Keywords

Cite

@article{arxiv.1603.09004,
  title  = {Singular Vectors of Orthogonally Decomposable Tensors},
  author = {Elina Robeva and Anna Seigal},
  journal= {arXiv preprint arXiv:1603.09004},
  year   = {2016}
}

Comments

15 pages, 6 figures