%0 Journal Article
%T Ranks of tensors and a generalization of secant varieties
%A Jaros£¿aw Buczy¨½ski
%A J. M. Landsberg
%J Mathematics
%D 2009
%I arXiv
%R 10.1016/j.laa.2012.05.001
%X 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 C^2 \otimes C^b \otimes C^b. We review the literature from a geometric perspective.
%U http://arxiv.org/abs/0909.4262v5