The η-Anti-Hermitian Solution to a System of Constrained Matrix Equations over the Generalized Segre Quaternion Algebra

被引：15
|
作者：
Ren, Bai-Ying [1 ]
Wang, Qing-Wen [1 ]
Chen, Xue-Ying [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 03期
基金：
中国国家自然科学基金;
关键词：
generalized Segre quaternion algebra; eta-anti-Hermitian solution; real representation; COMMUTATIVE QUATERNIONS; TRANSFORM; SIGNAL;
D O I：
10.3390/sym15030592
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we propose three real representations of a generalized Segre quaternion matrix. We establish necessary and sufficient conditions for the existence of the ?-anti-Hermitian solution to a system of constrained matrix equations over the generalized Segre quaternion algebra. We also obtain the expression of the general ?-anti-Hermitian solution to the system when it is solvable. Finally, we provide a numerical example to verify the main results of this paper.
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页数：15
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