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...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Applied mathematics letters Jg. 163; S. 109466
Hauptverfasser:	Liu, Chengdong, Wei, Yimin, Xie, Pengpeng
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Ltd 01.04.2025
Schlagworte:	Dual matrices Dual quaternion Fréchet derivative Kinematics Matrix exponential Dual matrices Fréchet derivative Dual quaternion Kinematics Matrix exponential
ISSN:	0893-9659
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!