Work

Chebyshev Polynomials and Best Rank-one Approximation Ratio

Year: 2020

Type: article

Abstract: We establish a new extremal property of the classical Chebyshev polynomials in the context of best rank-one approximation of tensors. We also give some necessary conditions for a tensor to be a minimizer of the ratio of spectral and Frobenius norms.

Source: SIAM Journal on Matrix Analysis and Applications

DOI: 10.1137/19m1269713

Authors: Andrei Agrachev, Khazhgali Kozhasov, André Uschmajew

Institutions: Max Planck Society, Max Planck Institute for Mathematics in the Sciences

Language: English

Topic: Tensor decomposition and applications

Subfield: Computational Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2935555528

FWCI: 0.796

Cites: 19

Cited by: 9

Related to: 10