Seeking for the Maximum Symmetric Rank

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...

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Bibliographic Details
Main Author: Alessandro De Paris
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/6/11/247
Description
Summary: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.
ISSN:2227-7390