四元数体

The author generalized the results of the centralizer of matrix over complex number field to Real Quaternion field .

推广了数域上的矩阵中心化子理论，得到了实四元数体矩阵上的中心化子理论

The research of matrixes is continuously an important aspect of the quaternion division algebra. The purpose of this paper is to discuss the property of skew self-conjugate matrix. The definition of skew self-conjugate matrix on real quaternion division algebra is given.

四元数体上矩阵的研究是四元数代数理论中的一个重要方面，本文研究实四元数体上斜自共轭矩阵的性质，给出实四元数体上斜自共轭矩阵的定义。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

Quaternion field; matrix equation; structure-preserving algorithm; iterative method

四元数体；矩阵方程；保结构运算；迭代算法

Accordingly, it is also very important for quaternion matrix theory.

同样地，对于四元数体上矩阵的理论研究和计算而言，四元数矩阵分解也占有十分重要的地位。

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。

Due to the demand of the large angle attitude control, the unit quaternion is used to describe the spacecraft attitude in this thesis.

针对飞行器以姿控发动机作为姿控执行机构时的大角度姿态运动需求，本文采用单位四元数作为弹体姿态描述，考虑到姿控发动机布局对姿态控制的影响，直接以姿控发动机推力作为系统的控制输入，利用反馈线性化方法，将原非线性系统转化为一个六阶线性子系统和一个一阶内动态子系统。

A conclusion that the symmetric product of a self-conjugate matrix is still a self-conjugate matrix was obtained.

给出实四元数体上矩阵对称积的定义，得到了自共轭矩阵的对称积仍是自共轭矩阵的结论。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。