摘要
本文在[1][2][3][4]推广正定矩阵的基础上,定义了广义正定对称矩阵,获得了广义正定对称矩阵的若干等价务件及性质。推广了著名的Surch 定理及正定对称矩阵的一些结论,指出并纠正了[2]中的几个错误结论.
In this paper the generalized positive definite symmtric matrices have been de- fined.They are based on the concepts of the generalized positive definite martrices in [1,2,3,4].Some conditions of equivalence and properties are obtained.We ex- tend famous Schur theorem and some results of positive definite symmtric matrices, and correct some mistakes in[2].