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 right characteristic values of matrices on quaternion division algebra are discussed, and some corresponding results for complex matrices are generalized and improved.
讨论实四元数体上方阵的右特征值，并将域上矩阵的一些相应结果推广到实四元数体上。
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。
Accordingly, we extended several important theorems of complex matrix theory to the quaternion field.
由此，把复数域上矩阵论的若干重要定理推广到了四元数体。
Accordingly, we extended several important theorems of complex matrix theory to the quaternion field.
由此，把复数域上矩阵论的若干重要定理推广到了四元数体。
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