Faces of the cone of positive semidefinite matrices

被引：0

作者：

Wang, Jie ^{[1
]}

Si, Lin ^{[1
]}

机构：

[1] Beijing Forestry Univ, Dept Math, 35 East Qinghua Rd, Beijing, Peoples R China

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2019年 / 62卷 / 03期

关键词：

Positive semidefinite quadratic form; cone; face; projection matrix;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let 2(d) be the family of all d x d positive semidefinite matrices. We show that the form of faces of 2(d) under geometric and algebraic definitions coincides. Using this result, we get a classification of 2(d) in a geometric sense. The form of projection matrix is described more clearly, and it turns out that 2(d) is the positive hull of all projection matrices with rank 1.

引用

页码：313 / 321

页数：9

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