关于分块半正定矩阵性质的注记  

Remarks on Properties of Semi-Definite Block Matrices

作　　者：张萍萍 任芳国[1] ZHANG Pingping;REN Fangguo(School of Mathematics and Information Science,Shaanxi Normal University,Xi＇an 710062,Shaanxi,China)

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《咸阳师范学院学报》2018年第6期43-46,共4页Journal of Xianyang Normal University

基　　金：国家自然科学基金项目(11471200)

摘　　要：利用已有的分块半正定矩阵的相关性质,研究2×2分块半正定矩阵关于行列式的性质以及2×2分块半正定矩阵的判定等价命题,扩展了分块半正定矩阵的已有性质。此外还研究了两个Hermite矩阵在状态R下的协方差和方差的基本性质。Through the use of the properties of existing semi-definite block matrices, a study was made of the properties of two by two semi-definite block matrix about determinant and its equivalent propositions, which deepens the existing results of semi-definite block matrices. Besides, a study was also made of the basic properties of covariance and variance about two Hermite matrices.

关 键 词：分块半正定矩阵 压缩矩阵 协方差 

分 类 号：O151.21[理学—数学]