Spectral analysis of 2D outlier layout

نویسندگان

چکیده

Thompson’s partition of a cyclic subnormal operator into normal and completely non-normal components is combined with non-commutative calculus for hyponormal operators separating outliers from the cloud, in rather general point distributions plane. The main result provides exact transformation formulas power moments prescribed distribution uniform mass carried by cloud. proposed algorithm solely depends on Hessenberg matrix associated to original data. robustness reflected insensitivity output under trace class, or theorem Voiculescu, certain Hilbert–Schmidt additive perturbations matrix.

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ژورنال

عنوان ژورنال: Journal of spectral theory

سال: 2021

ISSN: ['1664-039X', '1664-0403']

DOI: https://doi.org/10.4171/jst/358