Matrix representation of quaternions

被引:32
作者
Farebrother, RW
Gross, J
Troschke, SO
机构
[1] Victoria Univ Manchester, Dept Econ Studies, Manchester M13 9PL, Lancs, England
[2] Univ Dortmund, Dept Stat, D-44221 Dortmund, Germany
关键词
Kronecker product; matrix algebra; quaternion;
D O I
10.1016/S0024-3795(02)00535-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish that there are a total of 48 distinct ordered sets of three 4 x (skew-symmetric) signed permutation matrices which will serve as the basis of an algebra of quaternions. (C) 2003 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:251 / 255
页数:5
相关论文
共 1 条
[1]   Quaternions: further contributions to a matrix oriented approach [J].
Gross, J ;
Trenkler, G ;
Troschke, SO .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 326 (1-3) :205-213