Dual Quaternions and Dual Quaternion Vectors

By Liqun Qi, C. Ling, Hong Yan. Communication on Applied Mathematics and Computation, 2021

101 citations recorded by the source corpus.

We introduce a total order and an absolute value function for dual numbers. The absolute value function of dual numbers takes dual number values, and has properties similar to those of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number. Based upon these, we extend 1-norm, $$\infty$$ ∞ -norm, and 2-norm to dual quaternion vectors.

Subfields: Applied Mathematics, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/aede800e526d92924f83c974b773ac71cf9fe291

How researchers see this paper

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In Applied Mathematics

1. Ziyan Luo
2. Liqun Qi

In Computer Vision and Pattern Recognition

1. Liqun Qi

Citations in the corpus

• Eigenvalues and Singular Values of Dual Quaternion Matrices (2021, background): “In [7], a total order was introduced for dual numbers.”