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Ranks of the common solution to six quaternion matrix equations

โœ Scribed by Qing-wen Wang; Yan Zhou; Qin Zhang

Book ID
106301461
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
294 KB
Volume
27
Category
Article
ISSN
0168-9673

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๐Ÿ“œ SIMILAR VOLUMES

The general solution to a system of real
The general solution to a system of real quaternion matrix equations
โœ Qing-Wen Wang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Bisymmetric and centrosymmetric solution
Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
โœ Qing-Wen Wang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 450 KB

In this paper we consider bisymmetric and centrosymmetric solutions to certain matrix equations over the real quaternion algebra H. Necessary and sufficient conditions are obtained for the matrix equation AX = C and the following systems to have bisymmetric solutions, and the system to have centro