具有实谱值的四元数矩阵的谱值估计

Estimation of Spectral Values of Quaternion Matrix with Real Spectral Values

中文关键词:  四元数矩阵的谱值  具有实谱值的四元数矩阵  实对称矩阵。

中文摘要:

      本文给出了具有实谱值的四元数矩阵的定义，得到了一些具有实谱值的四元数矩阵的谱值不等式，这些不等式只涉及到了四元数矩阵的迹的实部和它的平方的迹的实部。

英文摘要:

      In this paper,we give a definition of quaternion matrix with real spectral values,and obtain several inequalities of spectral values of quaternions matrix with real spectralvalues. These inequalities only invelve the real part of traice of a quaternion matrix andthe real part of trace of its square.