@Article{CMR-37-4,
author = {Yuhang, Liu and Ma, Haifeng},
title = {Perturbation of the Weighted T-Core-EP Inverse of Tensors Based on the T-Product},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {37},
number = {4},
pages = {496--536},
abstract = {<p style="text-align: justify;">In this paper, we extend the notion of the T-Schur decomposition to
the weighted T-core-EP decomposition. Next, the weighted T-core-EP inverse
of rectangular tensors is defined by a system, and its existence and uniqueness
are obtained. Furthermore, the perturbation of the weighted T-core-EP inverse
is studied under several conditions, and the relevant examples are provided to
verify the perturbation bounds of the weighted T-core-EP inverse of tensors.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2021-0052},
url = {https://global-sci.com/article/81518/perturbation-of-the-weighted-t-core-ep-inverse-of-tensors-based-on-the-t-product}
}