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On properties of the dual quaternions
2011Summary: In this paper, Euler's and De Moivre's formulas for complex numbers and quaternions are generalized for the dual quaternions. Also, the matrix representation of dual quaternions is expressed.
YÜCE, Salim, Ercan, Zeynep
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Quaternion-Valued Twin-Multistate Hopfield Neural Networks With Dual Connections
IEEE Transactions on Neural Networks and Learning Systems, 2021Masaki Kobayashi
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Matrix Representation of Dual Quaternions
2013After a review of some properties of dual quaternions, De Moivre's and Euler's formulas for the matrices associated with these quaternions are studied. In special case, De Moivre's formula implies that there are uncountably many matrices of unit dual quaternions satisfying 4 n A I = for n≥3.
JAFARI, Mehdi +2 more
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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.
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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.
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Set-point control of robot end-effector pose using dual quaternion feedback
Robotics and Computer-Integrated Manufacturing, 2018Bruno Adorno, Philippe Fraisse
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Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations
Numerical Functional Analysis and Optimization, 2022exaly
A Dual Quaternion Solution to Attitude and Position Control for Rigid-Body Coordination
IEEE Transactions on Robotics, 2012Zhiyun Lin
exaly