@article{Ding2022, 
author = {Wenxv Ding and Ying Li and Anli Wei and Zhihong Liu},
title = {Solving reduced biquaternion matrices equation        ∑          i      =      1              k            A    i    X      B    i    =  C with special structure based on semi-tensor product of matrices},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {3258-3276},
keywords = {semi-tensor product of matrices, reduced biquaternion, matrix equation, real vector representation},
url = {https://www.sciopen.com/article/10.3934/math.2022181},
doi = {10.3934/math.2022181},
abstract = {In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of reduced biquaternion matrix equation (1.1). Several numerical examples show that the proposed algorithm is feasible at last.}
}