Results 231 to 240 of about 1,046 (258)

Quaternionic Subspace Gabor Frames and Their Duals

Advances in Applied Clifford Algebras
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Li, Yun-Zhang, Zhang, Xiao-Li
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Dual quaternion matrices and MATLAB applications

2018
Summary: There are many studies in the literature on real quaternions and real quaternion matrices. There are few studies in the literature on dual quaternions. Definitions of the matrices of dual quaternions used in this study will be given. The originality of our research, the set of dual quaternion matrix we studied, will be defined for the first ...
Nalbant, Kemal Gokhan, Yuce, Salim
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Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM

Communications on Applied Mathematics and Computation, 2023
Liqun Qi
exaly  

Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices

Numerical Functional Analysis and Optimization, 2023
Chen LING, Liqun Qi
exaly  

Visualizing Quaternions and Dual Quaternions

2023
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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.
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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.
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Hyper Dual Quaternions Representation of Rigid Bodies Kinematics

Mechanism and Machine Theory, 2020
Moshe Shoham, Avraham Cohen
exaly  

Approaching Dual Quaternions From Matrix Algebra

IEEE Transactions on Robotics, 2014
Federico Thomas Arroyo
exaly