Least-squares Hermitian problem of complex matrix equation (AXB, CXD) = (E, F)

被引：0
|
作者：
Wang, Peng [1 ,2 ]
Yuan, Shifang [1 ]
Xie, Xiangyun [1 ]
机构：
[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China
[2] Wuhan Univ Technol, Sch Comp Sci & Technol, Wuhan 430070, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
关键词：
matrix equation; least-squares solution; Hermitian matrices; Moore-Penrose generalized inverse; MINIMUM-NORM;
D O I：
10.1186/s13660-016-1231-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation (AXB, CXD) = (E, F) with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F. This method determines the least-squares Hermitian solution with the minimum norm. It relies on a matrix-vector product and the Moore-Penrose generalized inverse. Numerical experiments are presented which demonstrate the efficiency of the proposed method.
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页数：13
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