Representations of multivariate polynomials by sums of univariate polynomials in linear forms
From MaRDI portal
Publication:5443642
DOI10.4064/cm112-2-2zbMath1154.11011OpenAlexW2314920849MaRDI QIDQ5443642
Andrzej Białynicki-Biruła, Andrzej Schinzel
Publication date: 21 February 2008
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm125-1-10
Waring problemPolynomialsrepresentation of a multivariate polynomialsums of powers of linear polynomials and forms
Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Representation problems (11D85)
Related Items (16)
Generic power sum decompositions and bounds for the Waring rank ⋮ Linear dependence of powers of linear forms ⋮ Seeking for the maximum symmetric rank ⋮ Some examples of forms of high rank ⋮ Quantum algorithm for multivariate polynomial interpolation ⋮ Symmetric tensor rank over an infinite field ⋮ Identifiability of an X-Rank Decomposition of Polynomial Maps ⋮ An upper bound for the tensor rank ⋮ An upper bound for the Waring rank of a form ⋮ Symmetric tensor rank and scheme rank: an upper bound in terms of secant varieties ⋮ On maximum, typical and generic ranks ⋮ Maximum Waring Ranks of Monomials and Sums of Coprime Monomials ⋮ Decoupling multivariate polynomials: interconnections between tensorizations ⋮ Progress on the symmetric Strassen conjecture ⋮ Decoupling Multivariate Polynomials Using First-Order Information and Tensor Decompositions ⋮ Open -ranks with respect to Segre and Veronese varieties
This page was built for publication: Representations of multivariate polynomials by sums of univariate polynomials in linear forms