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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:
Mar 26, 2019
Published:
Mar 28, 2019

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