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The general solution to a system of real quaternion matrix equations

✍ Scribed by Qing-Wen Wang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
565 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 corresponding results on other systems over ~ are also obtained. ~)

πŸ“œ SIMILAR VOLUMES

Bisymmetric and centrosymmetric solution
Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
✍ Qing-Wen Wang πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 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