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On the rank of 3×3×3-tensors

✍ Scribed by Lavrauw, Michel; Pavan, Andrea; Zanella, Corrado

Book ID
118164643
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
120 KB
Volume
61
Category
Article
ISSN
0308-1087

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Typical rank and indscal dimensionality
Typical rank and indscal dimensionality for symmetric three-way arrays of order I×2×2 or I×3×3
✍ Jos M.F ten Berge; Nikolaos D Sidiropoulos; Roberto Rocci 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 226 KB

A peculiar property of three-way arrays is that the rank they typically have does not necessarily coincide with the maximum possible rank, given their order. Typical tensorial rank has much been studied over algebraically closed fields. However, very few results have been found pertaining to the typ