四元数矩阵理论中的几个概念间的关系

The Relations between Some Conceptions in the Quaternion Matrix Theory

本文指出并改正文［１］中的错误，给出弱特征多项式［２］与重特征多项式［３］间的显式关系，同时也给出行列式［２］与重行列式［４］间的显式关系，最后讨论了左特征值、右特征值、特征值和特征根之间的关系及最小多项式与弱特征多项式根之间的关系．

In this paper, we point out and correct the error in paper , give the relation between the weakly characteristic polynomial and the double characteristic polynomial , as well as the relation between the determinant and the double determinant , at last we discuss the relation among the right eigenvalue, left eigenvalue, eigenvalue and characteristic root, as well as the relation between the roots of the minimal polynomial and the roots of the weekly characteristic polynomial.