The Common Solution of Twelve Matrix Equations over the Quaternions

被引：1
作者：
Yuan, Wei-Jie [1 ]
Wang, Qing-Wen [1 ,2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Collaborat Innovat Ctr Marine Artificial Intellig, Shanghai 200444, Peoples R China
来源：
FILOMAT | 2022年 / 36卷 / 03期
基金：
中国国家自然科学基金;
关键词：
General solution; Least-squares solution; Least norm; Quaternion algebra; Real representation; Matrix equation; LEAST-SQUARES SOLUTIONS; GENERAL-SOLUTION; SYSTEM; AX; NORM;
D O I：
10.2298/FIL2203887Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a system of twelve quaternion matrix equations. Using the real representation of a quaternion matrix, we first derive the least-squares solution with the least norm to the system. Meanwhile, we establish the solvability conditions and an expression of the general solution to the system when it is consistent.
引用
收藏
页码：887 / 903
页数：17
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