一个不等式及其在四元数矩阵中的应用

A INEQUALITY AND ITS APPLICATIONS IN QUATERNION MATRIX

本文首先证明了一个不等式，应用它改进了近年来有关复矩阵和四元数矩阵行列式估计的一些重要结果．同时还推广了许多著名不等式．

First,in this paper, we proved a inequality. After that,sing the inequality,we improved some important results on inequality of determinant of complex matrix and quaternion matrix at the present time.We improved some well-known inequalities yet.