Ranks of tensors and a generalization of secant varieties Academic Article uri icon

abstract

  • We introduce subspace rank as a tool for studying ranks of tensors and X-rank more generally. We derive a new upper bound for the rank of a tensor and determine the ranks of partially symmetric tensors in C2⊗ Cb⊗Cb. We review the literature from a geometric perspective. © 2011 Elsevier Inc. All rights reserved.

author list (cited authors)

  • Buczyński, J., & Landsberg, J. M.

citation count

  • 33

publication date

  • January 2013