有关矩阵广义（半）正定的几个结果

Some Results of Generalized Positive Definite Matrix

本文首先给出了ＡＢ及ＡＢ为广义正定及半正定的充要条件。对于特殊的广义正定阵给出了其行列式的界并将Ｏｐｅｎ－Ｈｅｉｍ关于正定阵的Ｈａｄａｍａｒｄ乘积，Ｈａｄａｍａｒｄ关于正定阵行列式的界及Ｍｉｎｋｏｗｓｋｉ关于正定阵等的著名结果推广到广义正定阵上。

In this paper we give a necessary and sufficient condition for A B or A B isgeneralized positive definite matrix such that A or B is generalized positive definite matrix.Further we obtain some results of generalized positive definite matrices.