关于实四元数方阵数值半径的注记

Note on the Numerical Radius of Real Quaternion

文[1]给出了实四元数方阵数值半径的概念和一些不等式。文[2]给出了数值半径幂的不等式，C—数值半径所满足的不等式。本文在[1]与[2]的基础上研究了数值半径，矩阵的谱范数和矩阵范数之间的关系，又给出了一些新的不等式。有些不等式在复矩阵理论中也是新的。

In the paper we study numerical radius, spectral norm of matrix, matrix norm and theirs relationship based on [1] and [2]. Some inequalities are given. And some of them are new on the complex theory.