English

On the complexity of finding tensor ranks

Combinatorics 2020-11-17 v2

Abstract

The purpose of this note is to give a linear algebra algorithm to find out if a rank of a given tensor over a field \F\F is at most kk over the algebraic closure of \F\F, where kk is a given positive integer. We estimate the arithmetic complexity of our algorithm.

Keywords

Cite

@article{arxiv.2002.07151,
  title  = {On the complexity of finding tensor ranks},
  author = {Mohsen Aliabadi and Shmuel Friedland},
  journal= {arXiv preprint arXiv:2002.07151},
  year   = {2020}
}
R2 v1 2026-06-23T13:44:24.586Z