The Least Squares Hermitian (Anti)reflexive Solution with the Least Norm to Matrix Equation AXB=C-Reference-Cited by-同舟云学术

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

Published:2017 Issue: Volume:2017 Page:1-6
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Liu Xin¹^ORCID,Wang Qing-Wen²^ORCID

Affiliation:

1. Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, Taipa 999078, Macau, China

2. Department of Mathematics, Shanghai University, Shanghai 200444, China

Abstract

For a given generalized reflection matrix J, that is, JH=J, J2=I, where JH is the conjugate transpose matrix of J, a matrix A∈Cn×n is called a Hermitian (anti)reflexive matrix with respect to J if AH=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.

Funder

Macau Science and Technology Development Fund

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2017/9756035.pdf

Reference31 articles.

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5. Characterizations of {K,s+1}-potent matrices and applications

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