@article{Wang2024, 
author = {Jin Wang},
title = {Least squares solutions of matrix equation    A  X  B  =  C under semi-tensor product},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {5},
pages = {2976-2993},
keywords = {matrix equations, semi-tensor product, least squares solution},
url = {https://www.sciopen.com/article/10.3934/era.2024136},
doi = {10.3934/era.2024136},
abstract = {This paper mainly studies the least-squares solutions of matrix equation    A  X  B  =  C under a semi-tensor product. According to the definition of the semi-tensor product, the equation is transformed into an ordinary matrix equation. Then, the least-squares solutions of matrix-vector and matrix equations respectively investigated by applying the derivation of matrix operations. Finally, the specific form of the least-squares solutions is given.}
}