Year: 2021
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Zhang, Yating, Guo, Xiaoxia, Xie, Pengpeng
Institution: Ocean University of China
Language: English
Subfield: Computational Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3198956594