针对四元数矩阵正交特征矢量系求解困难的缺点, 本文提出一种获取四元数矩阵正交特征矢量集等效、便捷的方法,

其基本思路为: 首先, 构造四元数矩阵定义于复数域的导出阵, 并利用该导出阵特征矢量空间的一种特殊的等价空间间接获取

相应特征值所对应的特征矢量. 然后, 将复数矢量转换为四元数矢量, 按如此方式获取的对应所有特征值的非零特征矢量则构

成原始四元数矩阵的正交特征矢量系-For Quaternion orthogonal feature vector lines to solve the shortcomings of the difficulties, this paper proposes a quaternion matrix to obtain the orthogonal feature vector set equivalent, and convenient method, and its basic idea is: First of all, the structure definition of quaternion matrix in the complex field of the export array, and use the Export feature vector array space equivalent of a special space for indirect access to the corresponding eigenvalues of the corresponding feature vector. Then, the plural vector is converted to quaternion vector, according to such methods to obtain all the characteristics of the corresponding non-zero value of feature vector constituted the original quaternion matrix of the orthogonal feature vector lines