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Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations

Numerical Functional Analysis and Optimization, 2022
Hongjin He, Chen LING, Liqun Qi
exaly  

On the E. Study maps for the dual quaternions

2021
Summary: In this study, the generalization of the well-known E. Study map for unit dual quaternion vectors in \(H_{\mathbb{D}}^3\) is obtained, where \(\mathbb{D}\) and \(H_{\mathbb{D}}\) are sets of dual numbers and dual quaternions, respectively.
openaire   +2 more sources

On dual Fibonacci quaternions

2013
In this study, we defined the dual Fibonacci quaternions. We investigated some algebraic properties of these quaternions. We gave the Binet formula and the generating function of them. We also gave their matrix representations.
openaire   +1 more source

Hyper Dual Quaternions representation of rigid bodies kinematics

Mechanism and Machine Theory, 2020
Moshe Shoham
exaly  

Approaching Dual Quaternions From Matrix Algebra

IEEE Transactions on Robotics, 2014
Federico Thomas Arroyo
exaly  

Gravity Compensation with Dual Quaternions

2025 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)
Francisco Jesús Arjonilla García   +1 more
openaire   +2 more sources

The geometric structure of unit dual quaternion with application in kinematic control

Journal of Mathematical Analysis and Applications, 2012
Xiangke Wang   +2 more
exaly  

Relative motion coupled control based on dual quaternion

Aerospace Science and Technology, 2013
Shu-Nan Wu
exaly  

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