An upper bound for the real tensor rank and the real symmetric tensor rank in terms of the complex ranks

DOI10.1080/03081087.2013.839671zbMath1301.14029OpenAlexW1986399599MaRDI QIDQ2929491

Edoardo Ballico

Publication date: 12 November 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.839671

zbMATH Keywords

finite fieldSegre varietytensor rankreal rankVeronese varietysymmetric tensor rank

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Symmetric tensor decomposition
• Computing symmetric rank for symmetric tensors
• On the rank of a binary form
• On the maximum rank of a real binary form
• On the ranks and border ranks of symmetric tensors
• On the typical rank of real binary forms
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
• Symmetric Tensors and Symmetric Tensor Rank

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