论四元数矩阵的正定性

Positive Definite Characteristics of Quaternion Matrix

本文给出了正定四元数矩阵的定义，同时给出了正定四元数矩阵的一个充要条件，一个必要条件，一个充分条件．

In this paper, a definition is given for a quaternion matrix to be positive definite. Meantime a sufficient and necessary condition and a sufficient condition of judging quaternion matrix to be positive definite and a necessary condition of positive definite quaternion matrix are given.