A note on perturbation analysis for T-product based tensor singular values
Numerical Analysis
2021-09-24 v1 Numerical Analysis
Abstract
In this note, we present perturbation analysis for the T-product based tensor singular values defined by Lu et al. First, the Cauchy's interlacing-type theorem for tensor singular values is given. Then, the inequalities about the difference between the singular values of two matrices proposed by Mirsky are extended to tensor cases. Finally, we introduce some useful inequalities for the singular values of tensor products and sums.
Keywords
Cite
@article{arxiv.2109.11194,
title = {A note on perturbation analysis for T-product based tensor singular values},
author = {Yating Zhang and Xiaoxia Guo and Pengpeng Xie},
journal= {arXiv preprint arXiv:2109.11194},
year = {2021}
}