Open AccessSolving reduced biquaternion matrices equation $ \sum\limits_{i = 1}^{k}A_iXB_i = C $ with special structure based on semi-tensor product of matrices
Author(s) -
Wenxv Ding,
Ying Li,
Anli Wei,
Zhihong Liu
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022181
Subject(s) - quaternion , mathematics , representation (politics) , tensor product , matrix (chemical analysis) , product (mathematics) , tensor (intrinsic definition) , inverse , algebra over a field , pure mathematics , geometry , materials science , politics , political science , law , composite material
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.