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Open AccessArticle

Seeking for the Maximum Symmetric Rank

Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università di Napoli Federico II, I-80126 Napoli, Italy
Mathematics 2018, 6(11), 247; https://doi.org/10.3390/math6110247
Received: 9 October 2018 / Revised: 2 November 2018 / Accepted: 3 November 2018 / Published: 12 November 2018
(This article belongs to the Special Issue Decomposability of Tensors)
We present the state-of-the-art on maximum symmetric tensor rank, for each given dimension and order. After a general discussion on the interplay between symmetric tensors, polynomials and divided powers, we introduce the technical environment and the methods that have been set up in recent times to find new lower and upper bounds. View Full-Text
Keywords: symmetric tensor; tensor rank; Waring rank; power sum symmetric tensor; tensor rank; Waring rank; power sum
MDPI and ACS Style

De Paris, A. Seeking for the Maximum Symmetric Rank. Mathematics 2018, 6, 247.

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