Dual Quaternions and Dual Quaternion Vectors

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

10 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1494-1508
Number of pages15
Journal / PublicationCommunications on Applied Mathematics and Computation
Volume4
Issue number4
Online published19 Apr 2022
Publication statusPublished - Dec 2022

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.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review