广义正定矩阵的等价定义及进一步推广

The Equivalent Definitions of Generalized Positive Definite Matrices and Its Further Generalization

讨论了三类广义正定矩阵的等价定义,进一步推广正定矩阵得到了一类新的广义正定矩阵,并对其性质进行了研究.

The equivalent definitions of three kinds of generalized positive definite matrices are discussed, and then, a new kind of generalized positive definite matrices is proposed. Finally, some properties of the new kind of generalized positive definite matrices are introduced.