Quaternion is another new number system after the complex. The quaternion field is an extension of complex field.
四元数是继复数后又一新的数系,四元数体上代数是复数域上代数的扩展。
参考来源 - 四元数体上代数的若干矩阵问题研究·2,447,543篇论文数据，部分数据来源于NoteExpress
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。
应用推荐