Ranks of tensors and a generalization of secant varieties Academic Article

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.

authors

• Landsberg, Joseph

published proceedings

• LINEAR ALGEBRA AND ITS APPLICATIONS

author list (cited authors)

• Buczynski, J., & Landsberg, J. M.

citation count

• 43

complete list of authors

• Buczynski, Jaroslaw||Landsberg, JM

publication date

• January 2013

publisher

• Elsevier  Publisher

published in

• Linear Algebra and Its Applications  Journal

keywords

• 14q20 (primary) 15a69, 15a21 (secondary)
• Math.ag

Digital Object Identifier (DOI)

• 10.1016/j.laa.2012.05.001

start page

• 668

end page

• 689

volume

• 438

issue

• 2

URL

• http://dx.doi.org/10.1016/j.laa.2012.05.001