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.

引用

页数：13

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