正定复矩阵是矩阵论中的一个重要概念，人们已经掌握了它的若干性质与结构。

In this paper, some important inequalities on norm of determinent of complex positive definite matrix and its Schur complement are obtained.

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当引入广义正定复矩阵这个概念之后，也应该讨论它相应的性质与结构，这对丰富矩阵论的内容无疑是有意义的。

To in this paper, the definition of complex generalized positive definite matrix is given, its fundamental properties are studied, and its equivalent characteristics are established.

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本文讨论了一般正定复矩阵的两个性质，给出了正定复矩阵特征值的界，并给出了正定复矩阵行列式的模满足的一个不等式。

In this paper, some inequalities about singular values of normal matrices are established by the properties of compound matrix and the relation between eigenvalue and singular value of matrix.

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