The least squares Bisymmetric solution of quaternion matrix equation A X B = C

被引:5
作者
Wang, Dong [1 ]
Li, Ying [1 ]
Ding, Wenxv [1 ]
机构
[1] Liaocheng Univ, Res Ctr Semitensor Product Matrices Theory & Appl, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 12期
关键词
block matrix; Bisymmetric matrix; quaternion matrix equation; least squares solution; real representation;
D O I
10.3934/math.2021766
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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.
引用
收藏
页码:13247 / 13257
页数:11
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