the quaternion field 四元数体
generalized quaternion field 广义四元数体
the real quaternion field 实四元数体
matrices over quaternion field 四元数矩阵
cyclic matrix on quaternion field 四元数体上的循环矩阵
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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。
Finally, the necessary and sufficient condition is shown for similarity and consimilarity of matrices over quaternion field.
同时得到一些关于四元数矩阵的性质，以及体上矩阵相似和合相似的充要条件。
It is studied factorizing a matrix over quaternion field to the product of two self - conjugate matrices . and some useful results are obtained.
摘要研究了四元数矩阵分解为两个自共轭矩阵乘积，其中有一个是非奇异阵的条件，得到了一些有用的结果。
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