@article{354398,
  abstract = {We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties of the matrix and the higher-order tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, first-order perturbation effects, etc., are analyzed. We investigate how tensor symmetries affect the decomposition and propose a multilinear generalization of the symmetric eigenvalue decomposition for pair-wise symmetric tensors.},
  address = {Philadelphia, PA, USA},
  author = {Lathauwer, Lieven De and Moor, Bart De and Vandewalle, Joos},
  doi = {http://dx.doi.org/10.1137/S0895479896305696},
  interhash = {345c21b8420f7d9f83db12f440211715},
  intrahash = {eff602c4bab6277525a861ffaf7ae297},
  issn = {0895-4798},
  journal = {SIAM J. Matrix Anal. Appl.},
  number = 4,
  pages = {1253--1278},
  publisher = {Society for Industrial and Applied Mathematics},
  title = {A Multilinear Singular Value Decomposition},
  url = {http://portal.acm.org/citation.cfm?id=354398},
  volume = 21,
  year = 2000
}