Some Numerical Results on the Rank of Generic Three-Way Arrays over R
Computation
2009-06-02 v1 Applications
Abstract
The aim of this paper is the introduction of a new method for the numerical computation of the rank of a three-way array. We show that the rank of a three-way array over R is intimately related to the real solution set of a system of polynomial equations. Using this, we present some numerical results based on the computation of Grobner bases. Key words: Tensors; three-way arrays; Candecomp/Parafac; Indscal; generic rank; typical rank; Veronese variety; Segre variety; Grobner bases. AMS classification: Primary 15A69; Secondary 15A72, 15A18.
Keywords
Cite
@article{arxiv.0906.0198,
title = {Some Numerical Results on the Rank of Generic Three-Way Arrays over R},
author = {Vartan Choulakian},
journal= {arXiv preprint arXiv:0906.0198},
year = {2009}
}
Comments
21 pages