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The Hermitian Reflexive Solutions and The Anti-Hermitian Reflexive Solutions for A Class of Matrix Equations (AX=B, XC=D)

✍ Scribed by Shuo Zhou; Shitong Yang


Book ID
116426808
Publisher
Elsevier
Year
2012
Weight
212 KB
Volume
17
Category
Article
ISSN
1876-6102

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The reflexive and anti-reflexive solutio
✍ Zhen-yun Peng; Xi-yan Hu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 177 KB

An n Γ— n complex matrix P is said to be a generalized reflection matrix if P H = P and P 2 = I . An n Γ— n complex matrix A is said to be a reflexive (or anti-reflexive) matrix with respect to the generalized reflection matrix P if A = P AP (or A = -P AP ). This paper establishes the necessary and su