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On a Solution of the Quaternion Matrix Equation( X - A ilde{X}B = C )and Its Application

โœ Scribed by Tong Song Jiang; Mu Sheng Wei

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
153 KB
Volume
21
Category
Article
ISSN
1439-7617

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๐Ÿ“œ SIMILAR VOLUMES

On solutions of the matrix equations Xโˆ’A
On solutions of the matrix equations Xโˆ’AXB=C and Xโˆ’AXB=C
โœ Tongsong Jiang; Musheng Wei ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

This paper studies the solutions of complex matrix equations X -AXB = C and X -AXB = C, and obtains explicit solutions of the equations by the method of characteristic polynomial and a method of real representation of a complex matrix respectively.

On the uniqueness of the minimal solutio
On the uniqueness of the minimal solution to the matrix polynomial equation A(ฮป)X(ฮป)+Y(ฮป)B(ฮป)=C(ฮป)
โœ J. Feinstein; Y. Bar-ness ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 251 KB

## The uniqueness of the minimal solution of the matrix equation A(A)X(A)+ Y(A)B(h) = C(A) is discussed in this paper. It is proved that Bamett's condition for uniqueness can be obtained when only A(A) or B(A) (not necessarily both) is regular. Furthermore, it is shown that if such a minimal soluti