On the Waring rank of binary forms

DOI10.1016/j.laa.2017.03.007zbMath1426.11033arXiv1610.09065OpenAlexW2964195576MaRDI QIDQ526295

Neriman Tokcan

Publication date: 10 May 2017

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

Full work available at URL: https://arxiv.org/abs/1610.09065

zbMATH Keywords

binary formssums of powersreal rankWaring rankSylvestertensor decompositions

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Waring's problem and variants (11P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Related Items (4)

Binary forms of suprageneric rank and the multiple root loci ⋮ Waring rank of symmetric tensors, and singularities of some projective hypersurfaces ⋮ The Waring rank of binary binomial forms ⋮ Semialgebraic sets and real binary forms decompositions

Cites Work

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• Tensor Decompositions and Applications
• Real rank with respect to varieties
• 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
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• The solution to the Waring problem for monomials and the sum of coprime monomials
• On the typical rank of real binary forms
• Monomials as sums of powers: The real binary case
• Gundelfinger's Theorem on Binary Forms
• Binary forms with three different relative ranks
• Extreme binary forms
• Symmetric Tensors and Symmetric Tensor Rank
• On the Length of Binary Forms

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