关于广义正定矩阵的几个新结果

Several New Results from Generalized Positive Definite Matrix

受文献[1][2][3]等的启发,给出了准广义实正定矩阵的定义,并得出了准广义正定矩阵的几个充分必要条件及其他若干性质。进一步得到了行列式的一些不等式,推广和改进了近期广义正定矩阵的一些相关结果。

In this paper ,the concept of the almost generalized positive definte matrices are given, and some sufficient and necessary condition of the quasi generalized positive definte matrices and its other simple properties are representend. Further , we obtain some inequalities for determinant of generalized positive matices, and the results of references are generalized and improved.