典型文献
Dual Quaternions and Dual Quaternion Vectors
文献摘要:
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,co-norm,and 2-norm to dual quaternion vectors.
文献关键词:
中图分类号:
作者姓名:
Liqun Qi;Chen Ling;Hong Yan
作者机构:
Department of Mathematics,School of Science,Hangzhou Dianzi University,Hangzhou 310018,Zhejiang,China;Department of Applied Mathematics,The Hong Kong Polytechnic University,Hung Hom,Kowloon,Hong Kong,China;Department of Electrical Engineering and Centre for Intelligent Multidimensional Data Analysis,City University of Hong Kong,Kowloon,Hong Kong,China
文献出处:
引用格式:
[1]Liqun Qi;Chen Ling;Hong Yan-.Dual Quaternions and Dual Quaternion Vectors)[J].应用数学与计算数学学报,2022(04):1494-1508
A类:
Quaternions
B类:
Dual,Vectors,We,introduce,total,order,absolute,function,dual,numbers,takes,values,has,properties,similar,those,real,define,magnitude,quaternion,Based,upon,these,we,extend,norm,co,vectors
AB值:
0.472191
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