Ranks of tensors and a generalization of secant varieties

作者：Buczynski Jaroslaw^*; Land**erg J M

来源：Linear Algebra and Its Applications, 2013, 438(2): 668-689.

DOI：10.1016/j.laa.2012.05.001

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 circle times C-b circle times C-b. We review the literature from a geometric perspective.

• 出版日期2013-1-15