摘要
利用研究正定矩阵和广义正定矩阵的一些方法,给出了更广义正定矩阵的一些性质与充要条件.进而提出了更广义正定矩阵子集类的定义,研究了它的一些性质,并在行列式不等式上得到了一系列的结果.
Using the methods in researching the positive definite matrices and the generalized positive definite matrices, some necessary and sufficient conditions as well as some properties for the further generalized positive definite matrices were given. Furthermore,a special subset of further generalized definite matrices definite matrices was introduced. Meanwhile, some properties and determinant inequalities are obtained.
出处
《纺织高校基础科学学报》
CAS
2008年第2期134-139,共6页
Basic Sciences Journal of Textile Universities
基金
陕西省自然科学基金资助项目(2006A05)
教育部新世纪优秀人才支持计划资助项目(2006)
关键词
更广义正定矩阵
MINKOWSKI不等式
广义正定矩阵
further generalized positive definite matrices
Minkowski inequality
generalized positive defi-nite matrices
