Dual Quaternions and Dual Quaternion Vectors

被引：53

作者：

Qi, Liqun ^{[1
,2
]}

Ling, Chen ^{[1
]}

Yan, Hong ^{[3
,4
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Kowloon, Kowloon, Hong Kong, Peoples R China

[3] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

[4] City Univ Hong Kong, Ctr Intelligent Multidimens Data Anal, Kowloon, Hong Kong, Peoples R China

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 4卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Dual number; Absolute value function; Dual quaternion; Magnitude; Norm;

D O I：

10.1007/s42967-022-00189-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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, infinity-norm, and 2-norm to dual quaternion vectors.

引用

页码：1494 / 1508

页数：15

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