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

DOI10.36890/iejg.1127216OpenAlexW4306410116MaRDI QIDQ5058093

Yusuf Yayli, İrem Zengin, Çağla Ramis

Publication date: 2 December 2022

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1127216

zbMATH Keywords

Euler-Rodrigues formulaEuler's theoremdual numbershyper-dual numbers

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Applications of Lie groups to the sciences; explicit representations (22E70) Clifford algebras, spinors (15A66) Motion of a rigid body with a fixed point (70E17)

Related Items (1)

Hyper-dual matrices and dual transformations

Uses Software

• DNAD

Cites Work

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• DNAD, a simple tool for automatic differentiation of Fortran codes using dual numbers
• Euler's fixed point theorem: The axis of a rotation
• Automatic differentiation: techniques and applications
• Some variations of dual Euler-Rodrigues formula with an application to point-line geometry
• On point-line geometry and displacement
• Chasles' fixed point theorem for Euclidean motions
• Hyper-dual split quaternions and rigid body motion
• Dual split quaternions and Chasles' theorem in 3-dimensional Minkowski space
• Possible quantum kinematics
• Fundamental theorem of matrix representations of hyper-dual numbers for computing higher-order derivatives
• Lie Groups, Lie Algebras, and Representations
• Computational line geometry

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