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.
Chebyshev Polynomials and Best Rank-one Approximation Ratio / Agrachev, Andrey; Kozhasov, Khazhgali; Uschmajew, André. - In: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. - ISSN 0895-4798. - 41:1(2020), pp. 308-331. [10.1137/19M1269713]
Chebyshev Polynomials and Best Rank-one Approximation Ratio
Agrachev, Andrey;Kozhasov, Khazhgali;
2020-01-01
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.File in questo prodotto:
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