Cramer’s rule for a system of quaternion matrix equations with applications

Guang-Jing Song, Qing-Wen Wang and Shao-Wen Yu

Applied Mathematics and Computation, 2018, vol. 336, issue C, 490-499

Abstract: In this paper, we investigate Cramer’s rule for the general solution to the system of quaternion matrix equations A1XB1=C1,A2XB2=C2,and Cramer’s rule for the general solution to the generalized Sylvester quaternion matrix equation AXB+CYD=E,respectively. As applications, we derive the determinantal expressions for the Hermitian solutions to some quaternion matrix equations. The findings of this paper extend some known results in the literature.

Keywords: Quaternion matrix; Cramer’s rule; Matrix equations; Determinant (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:336:y:2018:i:c:p:490-499

DOI: 10.1016/j.amc.2018.04.056

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