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Reflexive solution to a system of matrix equations

✍ Scribed by Hai-xia Chang; Qing-wen Wang

Book ID
107482509
Publisher
Chinese Electronic Periodical Services
Year
2007
Tongue
English
Weight
143 KB
Volume
11
Category
Article
ISSN
1007-6417

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πŸ“œ SIMILAR VOLUMES

The general solution to a system of real
The general solution to a system of real quaternion matrix equations
✍ Qing-Wen Wang πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 565 KB

In this paper, we consider the system of matrix equations, A1X ~-C1, A2X = C2, AaXB3 = C3, and A4XB4 = C4, over the real quaternion algebra ~. A necessary and sufficient condition for the existence and the expression of the general solution to the system are given. As particular cases, the correspon

The reflexive and anti-reflexive solutio
The reflexive and anti-reflexive solutions of the matrix equation AX=B
✍ 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

The reflexive solutions of the matrix eq
The reflexive solutions of the matrix equation AX B = C
✍ D.S. CvetkoviΔ‡-IliΓ­c πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 283 KB

In this paper, we study the existence of a reflexive, with respect to the generalized reflection matrix P, solution of the matrix equation AXB = C. For the special case when B = I, we get the result of Peng and Hu [1].