Dual Quaternions and Dual Quaternion Vectors
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1494-1508 |
| Number of pages | 15 |
| Journal / Publication | Communications on Applied Mathematics and Computation |
| Volume | 4 |
| Issue number | 4 |
| Online published | 19 Apr 2022 |
| Publication status | Published - Dec 2022 |
Link(s)
Abstract
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, ∞-norm, and 2-norm to dual quaternion vectors.
Research Area(s)
- Dual number, Absolute value function, Dual quaternion, Magnitude, Norm
Citation Format(s)
Dual Quaternions and Dual Quaternion Vectors. / Qi, Liqun; Ling, Chen; Yan, Hong.
In: Communications on Applied Mathematics and Computation, Vol. 4, No. 4, 12.2022, p. 1494-1508.
In: Communications on Applied Mathematics and Computation, Vol. 4, No. 4, 12.2022, p. 1494-1508.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
