Publications
Article · SIAM Journal on Matrix Analysis and Applications · January 1, 2020
Chebyshev Polynomials and Best Rank-one Approximation Ratio
Andrei Alexandrovich Agrachev, Khazhgali Kozhasov, 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.
Tensor decomposition and applicationsMatrix Theory and AlgorithmsMathematical functions and polynomialsChebyshev polynomialstensorsextremal properties
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