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The Least Squares Hermitian (Anti)reflexive Solution with the Least Norm to Matrix Equation AXB=C
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-29
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Xin& Wang, Qing-Wen. 2017. The Least Squares Hermitian (Anti)reflexive Solution with the Least Norm to Matrix Equation AXB=C. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1192800
Modern Language Association (MLA)
Liu, Xin& Wang, Qing-Wen. The Least Squares Hermitian (Anti)reflexive Solution with the Least Norm to Matrix Equation AXB=C. Mathematical Problems in Engineering No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1192800
American Medical Association (AMA)
Liu, Xin& Wang, Qing-Wen. The Least Squares Hermitian (Anti)reflexive Solution with the Least Norm to Matrix Equation AXB=C. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1192800
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192800