TY - JOUR
T1 - A Semi-Tensor Product of Tensors and Applications
AU - Wei-Hui Liu, Ze-Jia Xie & Xiao-Qing Jin
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 - <p style="text-align: justify;">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.</p>