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Ranks and the least-norm of the general solution to a system of quaternion matrix equations

โœ Scribed by Qing-Wen Wang; Cheng-Kun Li

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
193 KB
Volume
430
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

We in this paper first establish a new expression of the general solution to the consistent system of linear quaternion matrix equations A

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

Ranks of least squares solutions of the
Ranks of least squares solutions of the matrix equation
โœ Yong Hui Liu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

For a complex matrix equation AX B = C, we solve the following two problems: (1) the maximal and minimal ranks of least square solution X to AX B = C, and (2) the maximal and minimal ranks of two real matrices X 0 and X 1 in least square solution X = X 0 + iX 1 to AX B = C. We also give a necessary

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