Chebyshev Polynomials and Best Rank-one Approximation Ratio

DOI10.1137/19M1269713zbMath1435.15019arXiv1904.00488OpenAlexW3010245060MaRDI QIDQ5222096

André Uschmajew, Andrei A. Agrachev, Khazhgali Kozhasov

Publication date: 30 March 2020

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00488

zbMATH Keywords

Chebyshev polynomialssymmetric tensorsspectral normrank-one approximation

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69) Topology of real algebraic varieties (14P25) Real polynomials: analytic properties, etc. (26C05)

Related Items (7)

Nonnegative forms with sublevel sets of minimal volume ⋮ Functional norms, condition numbers and numerical algorithms in algebraic geometry ⋮ On norm compression inequalities for partitioned block tensors ⋮ Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors ⋮ Volumes of Sublevel Sets of Nonnegative Forms and Complete Monotonicity ⋮ Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors ⋮ Maximum relative distance between real rank-two and rank-one tensors

Cites Work

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• Products of polynomials in many variables
• Schatten-von Neumann classes of multilinear forms
• The theory of best approximation of functions
• On norm compression inequalities for partitioned block tensors
• The Best Rank-One Approximation Ratio of a Tensor Space
• Greedy Approximation
• Generalized Gradients and Applications
• On G _p -Classes of Trilinear Forms
• Nuclear norm of higher-order tensors
• On Orthogonal Tensors and Best Rank-One Approximation Ratio
• An extremal property of Chebyshev polynomials
• Über homogene Polynome in ($L^{2}$)

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