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arXiv · 1904.00488

Chebyshev polynomials and best rank-one approximation ratio

Andrei Agrachev·Khazhgali Kozhasov·André Uschmajew
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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.

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Andrei Agrachev, Khazhgali Kozhasov, André Uschmajew. 2019-03-31. Chebyshev polynomials and best rank-one approximation ratio. https://arxiv.org/abs/1904.00488

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