摘要
基于正定矩阵的几个定义,首先给出了广义正定矩阵的一些新性质,其次研究了广义正定矩阵与H-矩阵、M-矩阵的关系,推广和改进了文献中的有关行列式不等式.
In this paper, some new basic properties of generalized positive definite matrices are obtained. Based on them, results about relationship between generalized positive definite matrices and H-matrices, M-matrices are presented. Finally, the corresponding determinant inequalities are generalized and improved.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第10期210-214,共5页
Mathematics in Practice and Theory
关键词
广义正定矩阵
H-矩阵
M-矩阵
行列式
不等式
generalized positive definite martrices
H-matrices
M-matrices
determinant inequality
