Dual quaternion singular value decomposition based on bidiagonalization to a dual number matrix using dual quaternion householder transformations-Reference-Cited by-同舟云学术

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Dual quaternion singular value decomposition based on bidiagonalization to a dual number matrix using dual quaternion householder transformations

Published:2024-06 Issue: Volume:152 Page:109021
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Ding Wenxv,Li Ying,Wang Tao,Wei Musheng

Funder

National Natural Science Foundation of China

Shandong Province Natural Science Foundation

Publisher

Elsevier BV

Reference14 articles.

1. Preliminary sketch of bi-quaternions;W.K.;Proc. Lond. Math. Soc.,1873

2. Approaching dual quaternions from matrix algebra;Thomas;IEEE Trans. Robot.,2014

3. A dual quaternion solution to attitude and position control for rigid body coordination;Wang;IEEE Trans. Robot.,2012

4. 3D kinematics using dual quaternions: Theory and applications in neuroscience;Leclrcq;Front. Behav. Neurosci.,2013

5. Dual quaternions as a tool for rigid body;Pennestrĺ;Arch. Mech. Eng.,2010

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1. Spectral Properties of Dual Unit Gain Graphs;Symmetry;2024-09-03

2. Perturbation of Dual Group Generalized Inverse and Group Inverse;Symmetry;2024-08-23

3. Moore determinant of dual quaternion Hermitian matrices;Computational and Applied Mathematics;2024-08-10

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