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Some Numerical Results on the Rank of Generic Three-Way Arrays over R
- Publication Year :
- 2009
- Publisher :
- arXiv, 2009.
-
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.<br />Comment: 21 pages
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....7c321b48f27a869039bc1b9632a2c3ee
- Full Text :
- https://doi.org/10.48550/arxiv.0906.0198