四元数乘法的结构张量与四元数矩阵的张量表示

STRUCTURE TENSOR OF QUATERNION MULTIPLICATION AND TENSOR EXPRESSIONS OF QUATERNION MATRICES

阐述了四元数的张量概念，并利用四元数乘法的结构张量建立了各种四元数分量矩阵与四元数张量的关系。从而使四元数运算归结为一般的张量运算．

The tensor concept of quaternions has been expounded and the relations betweenquaternion matrices and quaternion tensors have been set up with the aid of the structuretensor of quaternion multiplication, thus the quaternion calculus can be converted into theordinary tensor calculus.