拟广义正定矩阵

Quasi Generalized Positive Definite Matrix

受C.R.Johnson、佟文廷、夏长富等的启发,给出了拟广义正定矩阵的定义,并得出了拟广义正定矩阵的几个充分必要条件及其它若干性质;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 quasi generalized positive definite matrices is given, and some sufficient and necessary condition of the quasi generalized positive definite matrices and its other simple properties are represented. Furthermore, we obtain some inequalities for determinant of generalized positive matrices and the results of references are generalized and improved.