On the relation between the exponential of real matrices and that of dual matrices

Dual number matrices play a significant role in engineering applications such as kinematics and dynamics. The matrix exponential is ubiquitous in screw-based kinematics. In this paper, we develop an explicit formula for the dual matrix exponential. The result is closely related to the Fréchet deriva...

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Vydané v:	Applied mathematics letters Ročník 163; s. 109466
Hlavní autori:	Liu, Chengdong, Wei, Yimin, Xie, Pengpeng
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Ltd 01.04.2025
Predmet:	Dual matrices Dual quaternion Fréchet derivative Kinematics Matrix exponential Dual matrices Fréchet derivative Dual quaternion Kinematics Matrix exponential
ISSN:	0893-9659
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