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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
34/2019

Chebyshev polynomials and best rank-one approximation ratio

Andrei Agrachev, Khazhgali Kozhasov and André Uschmajew

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.

Received:
26.03.19
Published:
28.03.19

Related publications

inJournal
2020 Repository Open Access
Andrei Agrachev, Khazhgali Kozhasov and André Uschmajew

Chebyshev polynomials and best rank-one approximation ratio

In: SIAM journal on matrix analysis and applications, 41 (2020) 1, pp. 308-331