Maximum relative distance between real rank-two and rank-one tensors

DOI10.1007/s10231-022-01268-wOpenAlexW4295807837WikidataQ114228112 ScholiaQ114228112MaRDI QIDQ2687967

Henrik Eisenmann, André Uschmajew

Publication date: 7 March 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12611

zbMATH Keywords

symmetric tensorsspectral normrank-one approximationrank-two tensors

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69) Real polynomials: analytic properties, etc. (26C05) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items (1)

Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors

Cites Work

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• On the third secant variety
• On norm compression inequalities for partitioned block tensors
• Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors
• The Best Rank-One Approximation Ratio of a Tensor Space
• Generalized Gradients and Applications
• A Counterexample to Comon's Conjecture
• Chebyshev Polynomials and Best Rank-one Approximation Ratio
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
• On Orthogonal Tensors and Best Rank-One Approximation Ratio
• Über homogene Polynome in ($L^{2}$)

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