摘要
本文研究四元数的共轭运算和乘法有条件交换性.引入了几种新的四元数共轭数,给出了若干共轭运算的四元数代数表示式.在四元数矩阵乘法有条件的交换性的基础上,导出了一种与四元数新型相关数——蜕变四元数;利用解析形式重新表述了四元数乘法的有条件交换性.
In this paper, the conjugate operations of quaternion and the conditional commutativity of quaternion multiplication are studied. Some new types of conjugate numbers of quaternion are introduced, and some algebraic expressions of quaternion conjugate operations are given. Based on the conditional commutative law of quaternion matrix multiplication, a new kind of number related to quaternion--transmutation quaternion is introduced. The conditional commutative law of quaternion multiplication is re-expressed in analytical form.
出处
《安徽师范大学学报（自然科学版）》
CAS
北大核心
2014年第1期1-5,共5页
Journal of Anhui Normal University(Natural Science)
关键词
四元数
共轭运算
乘法的交换律
矩阵
quaternion
conjugate operations
commutative law of multiplication
matrix
