@Article{CMR-37-496, author = {Yuhang and Liu and and 18043 and and Yuhang Liu and Haifeng and Ma and and 18044 and and Haifeng Ma}, 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 = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0052}, url = {http://global-sci.org/intro/article_detail/cmr/19441.html} }