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 CbCb. We review the literature from a geometric perspective. 2011 Elsevier Inc. All rights reserved.

published proceedings

  • Linear Algebra and its Applications

author list (cited authors)

  • Buczyski, J., & Landsberg, J. M.

citation count

  • 39

complete list of authors

  • Buczyński, Jarosław||Landsberg, JM

publication date

  • January 2013