The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。
The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quaternion matrix.
利用与每个四元数矩阵相关联的复伴随矩阵，问题被简化为关于复数矩阵的并行问题。
The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。
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