Dual Quaternions and Dual Quaternion Vectors

作者：L. Qi, C. Ling, Hong Yan · 发表于：Communication on Applied Mathematics and Computation · 年份：2021 · DOI：10.1007/s42967-022-00189-y · 被引用次数：103 · 研究领域：Mathematics

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.