@Article{EAJAM-12-696, author = {Wei-Hui Liu, Ze-Jia Xie and Xiao-Qing Jin}, title = {A Semi-Tensor Product of Tensors and Applications}, journal = {East Asian Journal on Applied Mathematics}, year = {2022}, volume = {12}, number = {3}, pages = {696--714}, abstract = {

A semi-tensor product of matrices is proposed as a generalization of usual matrix product in the case where the dimensions of two factor matrices do not match. The properties of the semi-tensor product of tensors and swap tensors based on the Einstein product are studied. Applications of this new tensor product in image restoration and in finite dimensional algebras are discussed.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181120.050122}, url = {http://global-sci.org/intro/article_detail/eajam/20414.html} }