TY - JOUR T1 - A Semi-Tensor Product of Tensors and Applications JO - East Asian Journal on Applied Mathematics VL - 3 SP - 696 EP - 714 PY - 2022 DA - 2022/04 SN - 12 DO - http://doi.org/10.4208/eajam.181120.050122 UR - https://global-sci.org/intro/article_detail/eajam/20414.html KW - Semi-tensor product, tensor, Einstein product, Kronecker product, swap tensor. AB -

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.