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The skew-symmetric orthogonal solutions of the matrix equation AX=B

✍ 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

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πŸ“œ SIMILAR VOLUMES


The reflexive solutions of the matrix eq
✍ 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].

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✍ Xingping Sheng; Guoliang Chen πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 676 KB

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

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✍ 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