quaternion field meaning in English

四元数体
四元数域

Generally unitary solution to a system of matrix equations over the quaternion field
一四元数矩阵方程组的广义酉矩阵解
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。
The concept of a secondary diagonalizable ( sdiagonalizable ) matrix over quaternion field is defined , necessary and sufficient conditions for determining whether a matrix over quaternion field is a sdiagonalizable matrix are studied , and a method of finding sdiagonalizable matrices is given
摘要给出了四元数矩阵次对角化的定义，研究了一个四元数矩阵可次对角化的充要条件，并给出了使其次对角化的一个方法。