Details:
Title  Some numerical results on the rank of generic threeway arrays over $mathbbR$.  Author(s)  Vartan Choulakian  Type  Article in Journal  Abstract  The aim of this paper is the introduction of a new method for the numerical computation of the rank of a threeway array $\mathbf{X}\in\mathbb{R}^{I\times J\times K}$ over $\mathbb{R}$. We show that the rank of a threeway array over $\mathbb{R}$ 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 Gröbner bases. Also, we show that for $I=(K1)(J1)+1$ and $2\leq K\leq J\leq I$, the rank for generic data has more than one rank value, and the minimum attained value is I.
 ISSN  08954798; 10957162/e 
URL 
http://epubs.siam.org/doi/abs/10.1137/08073531X 
Language  English  Journal  SIAM J. Matrix Anal. Appl.  Volume  31  Number  4  Pages  15411551  Publisher  Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA  Year  2010  Edition  0  Translation 
No  Refereed 
No 
