Chebyshev polynomials and best rank-one approximation ratio
Algebraic Geometry
2020-03-12 v2 Functional Analysis
Optimization and Control
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.
Cite
@article{arxiv.1904.00488,
title = {Chebyshev polynomials and best rank-one approximation ratio},
author = {Andrei Agrachev and Khazhgali Kozhasov and André Uschmajew},
journal= {arXiv preprint arXiv:1904.00488},
year = {2020}
}