Full length article: An algorithm to find a maximum of a multilinear map over a product of spheres

  • Authors:
  • CéSar Massri

  • Affiliations:
  • -

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2013

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Abstract

We provide an algorithm to compute the 2-norm maximum of a multilinear map over a product of spheres. As a corollary we give a method to compute the first singular value of a linear map and an application to the theory of entangled states in quantum physics. Also, we give an application to find a closest rank-one tensor of a given one.