Open AccessThe least squares Bisymmetric solution of quaternion matrix equation $ AXB = C $
Author(s) -
Dong Wang,
Ying Li,
Wenxv Ding
Publication year - 2021
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.2021766
Subject(s) - quaternion , mathematics , least squares function approximation , representation (politics) , matrix (chemical analysis) , block (permutation group theory) , inverse , combinatorics , geometry , law , statistics , materials science , estimator , politics , political science , composite material
In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide the quaternion Bisymmetric matrix into four blocks and study the relationship between the block matrices. Applying this relation, the real representation of quaternion, and M-P inverse, we obtain the least squares Bisymmetric solution of quaternion matrix equation $ AXB = C $ and its compatable conditions. Finally, we verify the effectiveness of the method through numerical examples.