次对称次正定矩阵上的几个行列式不等式

次对称次正定矩阵上的几个行列式不等式

摘要：本文利用正定矩阵和次正定矩阵的关系，以及几个引理和著名的不等式，把已有的几个正定对称矩阵的行列式不等式推广到了次对称次正定矩阵上．

关键词：行列式不等式；正定矩阵；次正定矩阵；次对称矩阵．

Several Determinant Inequalities of meta-positive Definite and Sub-symmetric Matrix

Abstract:In this paper,we present several determinant inequalities of positive definite matrix which had been proved,Then we extend these determinant inequalities into meta-positive definite matrix through using three well-known inequalities and obtain some new results.

Keywords:determinant inequality;positive definite matrix;meta-positive definite matrix;sub-symmetric matrix.