几类广义正定矩阵之间的关系及有关性质  

Relations Between Scrveral Classes of Generalized Positive Definite Matrices

作　　者：游兆永[1] 袁超伟[1] 杨尚骏[2] 

机构地区：[1]西安交通大学 [2]安徽大学

出　　处：《工程数学学报》1993年第2期69-78,共10页Chinese Journal of Engineering Mathematics

摘　　要：本文得到几类广义正定矩阵之间的关系,以及这几类矩阵各自的和,平方、主子阵、逆矩阵,Schur补、行列式不等式等一些结果,并提出几个有待解决的问题。In this paper, We discuss the relations between several classes of gcnerlized positive definite matrices and invastigate the properitics about sums, squares, principal minors, inverse matrices, Schur complements, determinant inequalities, etc. of these kinds of matrices. Two open problems arc also presented.

关 键 词：正定矩阵 广义 逆矩阵 主子阵 

分 类 号：O151.21[理学—数学]