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].
The skew-symmetric orthogonal solutions of the matrix equation AX=B
β Scribed by Chunjun Meng; Xiyan Hu; Lei Zhang
- Book ID
- 108198798
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 254 KB
- Volume
- 402
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, two efficient iterative methods are presented to solve the symmetric and skew symmetric solutions of a linear matrix equation AXB + CYD = E, respectively, with real pair matrices X and Y . By these two iterative methods, the solvability of the symmetric and skew symmetric solutions fo
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