A system of dual quaternion matrix equations with its applications

2023/11/13 by Xie, Lv-Ming, Wang, Qing-Wen
#FOS: Mathematics #Numerical Analysis (math.NA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2312.10037

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 η-Hermitian solutions. Lastly, we design a numerical example to validate the main research findings of this paper.

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