The least squares Bisymmetric solution of quaternion matrix equation AXB=C

AIMS Mathematics

Dong Wang¹  Ying Li¹  Wenxv Ding¹ 

[1] Research Center of Semi-tensor Product of Matrices: Theory and Applications, School of Mathematical Science, Liaocheng University, Shandong 252000, China;

关键词: block matrix;    bisymmetric matrix;    quaternion matrix equation;    least squares solution;    real representation;   

DOI  :  10.3934/math.2021766

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown