利用实对称矩阵的半正定之等价条件给出了复正半定矩阵的几个等价条件。
Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix.
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.
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.
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.
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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