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。

It is studied factorizing a matrix over quaternion field to the product of two self - conjugate matrices . and some useful results are obtained.

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采用自由振荡法数值模拟了平头、钝头外形的超声速俯仰振荡时间历程，并应用奇异分解线性最小二乘法辨识稳定性导数，得到动导数随马赫数和攻角非线性变化的规律。

The dynamic derivatives conception is used as the index for the vehicle stability, but it is looked as the function of angle of attack and Mach number to induced nonlinear characteristics.

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