基于Hermite矩阵的几类重要不等式

SEVERAL KIND OF IMPORTANT INEQUALITIES BASED ON HERMITE MATRIX

笔者给出了Hermite矩阵特征值的Wieland - Hoffman型不等式,研究了Hadamard乘积下的矩阵迹的Cauchy型不等式、H（o）lder型不等式、Minkowski型不等式以及几何平均不等式.

In this paper, Wieland - Hoffman type theorem of positive definite and positive semi - definite Hermite matrix is given, then under the Hadamard product , we get＂ Cauchy type , Htilder type and Minkowski type inequalities of matrix traces.