The Application of Euler-Rodrigues Formula Over Hyper-Dual Matrices
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Published:2022-10-17
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Volume:
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ISSN:1307-5624
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Container-title:International Electronic Journal of Geometry
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language:en
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Short-container-title:Int. Electron. J. Geom.
Author:
RAMİS Çağla1, YAYLI Yusuf2, ZENGİN İrem3
Affiliation:
1. NEVSEHIR HACI BEKTAS VELI UNIVERSITY 2. ANKARA UNIVERSITY 3. IZMIR DEMOCRACY UNIVERSITY
Abstract
The Lie group over the hyper-dual matrices and its corresponding Lie algebra are first introduced in this study. One of Euler's strategies called the Euler-Rodrigues formula is applied to the matrices of hyper-dual rotations. The fundamental relationship between the hyper-dual numbers and the dual numbers allows us to apply the formula on dual lines and two intersecting real lines in the three-dimensional dual and Euclidean spaces, respectively.
Publisher
International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics
Reference29 articles.
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