The Application of Euler-Rodrigues Formula over Hyper-Dual Matrices

Authors : Çağla RAMİS, Yusuf YAYLI, İrem ZENGİN

Pages : 266-276

Doi:10.36890/iejg.1127216

View : 13 | Download : 6

Publication Date : 2022-10-31

Article Type : Research Paper

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.
Keywords : Dual numbers, hyper dual numbers, Euler Rodrigues formula, Euler`s theorem