关于正定复矩阵的若干结论

Some Results on Positive Definite Complex Matrix

本文讨论了正定复矩阵Schur补的性质,应用子(矩阵)结构讨论了正定复矩阵,给出了一类正定复矩阵判别法,以及两个正定矩阵的Kronecker积与Hadamard积的复正定性。

In this paper,we discuss the properties of Schur supplement of positive definite complex matrix and give some criterion about positive definite complex matrix and the complex positive definition of Kronecker product and Hadamaid product.