On the successive supersymmetric rank-1 decomposition of higher-order supersymmetric tensors

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

34 Scopus Citations
View graph of relations


  • Yiju Wang
  • Liqun Qi

Related Research Unit(s)


Original languageEnglish
Pages (from-to)503-519
Journal / PublicationNumerical Linear Algebra with Applications
Issue number6
Publication statusPublished - Aug 2007


In this paper, a successive supersymmetric rank-1 decomposition of a real higher-order supersymmetric tensor is considered. To obtain such a decomposition, we design a greedy method based on iteratively computing the best supersymmetric rank-1 approximation of the residual tensors. We further show that a supersymmetric canonical decomposition could be obtained when the method is applied to an orthogonally diagonalizable supersymmetric tensor, and in particular, when the order is 2, this method generates the eigenvalue decomposition for symmetric matrices. Details of the algorithm designed and the numerical results are reported in this paper. Copyright © 2007 John Wiley & Sons, Ltd.

Research Area(s)

  • Decomposition, Higher-order tensors, Rank-1 tensors, Supersymmetry