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力学学报  1995 

STRUCTURE TENSOR OF QUATERNION MULTIPLICATION AND TENSOR EXPRESSIONS OF QUATERNION MATRICES
四元数乘法的结构张量与四元数矩阵的张量表示

Keywords: quaternion,multiplication,matrix,tensor
四元数
,矩阵,张量,结构张量

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Abstract:

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.

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