Least squares solutions of matrix equation AXB = C under semi-tensor product

被引：0
|
作者：
Wang, Jin [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 05期
关键词：
matrix equations; semi -tensor product; least squares solution; SYMMETRIC SOLUTION; ITERATIVE METHODS; APPROXIMATION;
D O I：
10.3934/era.2024136
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper mainly studies the least-squares solutions of matrix equation AXB = C under a semi-tensor product. According to the definition of the semi-tensor product, the equation is transformed into an ordinary matrix equation. Then, the least-squares solutions of matrix-vector and matrix equations respectively investigated by applying the derivation of matrix operations. Finally, the specific form of the least-squares solutions is given.
引用
收藏
页码：2976 / 2993
页数：18
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