关于正定矩阵的Hadamand不等式的证明

Proof of the Hadamand Inequality of Positive Definite Matrix

首先指出丁卫平《关于正定矩阵一不等式的简单证明》一文给出的关于正定矩阵的Hadamand不等式的证明是不恰当的,然后按该文的思路,利用正定矩阵的有关性质给出正确的证明。

First, we point out that the proof of the Hadamand inequality of positive definite matrix in Ding Weiping＇s paper Proof of an inequality of positive definite matrix is not proper. Then according to the train of thought and using the property of positive definite matrix we present a proper proof.