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arXiv · 2312.10037

A system of dual quaternion matrix equations with its applications

Lv-Ming Xie·Qing-Wen Wang
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Abstract

We employ the M-P inverses and ranks of quaternion matrices to establish the necessary and sufficient conditions for solving a system of the dual quaternion matrix equations $(AX, XC) = (B, D)$, along with providing an expression for its general solution. Serving as an application, we investigate the solutions to the dual quaternion matrix equations $AX = B$ and $XC=D$, including $\eta$-Hermitian solutions. Lastly, we design a numerical example to validate the main research findings of this paper.

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Lv-Ming Xie, Qing-Wen Wang. 2023-11-13. A system of dual quaternion matrix equations with its applications. https://arxiv.org/abs/2312.10037

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