The Least Squares Hermitian (Anti) reflexive Solution with the Least Norm to Matrix Equation AXB = C

被引：4

作者：

Liu, Xin ^{[1
]}

Wang, Qing-Wen ^{[2
]}

机构：

[1] Macau Univ Sci & Technol, Fac Informat Technol, Ave Wai Long, Taipa 999078, Macau, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2017年 / 2017卷

基金：

中国国家自然科学基金;

关键词：

INVERSE EIGENVALUE PROBLEM; GENERALIZED REFLEXIVE; (P; (K;

D O I：

10.1155/2017/9756035

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

For a given generalized reflectionmatrix J, that is,J(H) =J, J(2) = I, where.J(H) is the conjugate transposematrix of J, a matrix A is an element of C-nxn is called a Hermitian (anti) reflexive matrix with respect to.. if A(H) = A and A= +/- JAJ. By using the Kronecker product, we derive the explicit expression of least squares Hermitian (anti) reflexive solution with the least norm to matrix equation AXB=C over complex field.

引用

页数：6

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