Towards finding hay in a haystack: explicit tensors of border rank greater than $2.02m$ in $C^motimes C^motimes C^m$ Academic Article uri icon

abstract

  • We write down an explicit sequence of tensors in $C^motimes C^motimes C^m$, for all $m$ sufficiently large, having border rank at least $2.02m$, overcoming a longstanding barrier. We obtain our lower bounds via the border substitution method.

author list (cited authors)

  • Landsberg, J. M., & MichaƂek, M.

publication date

  • January 1, 2019 11:11 AM