分块矩阵的复正定性与线性矩阵方程AX=B的反问题

Positive Definite of the Partition Complex Matrices and Inverse Problem of a Linear Matrix Equation AX=B

本文给出了一个分块,n×n阶矩阵为复正定矩阵的充要条件;另外,还讨论了线性矩阵方程 AX=B 的反问题在附加一定条件下的解.

In this paper,author gives a necessary and sufficient condition for determin- ing whether a partitioned n×n order complex matrix is positive definite or not.More- over,the solution of the inverse problem of linear matrix equation AX=B under the various conditions is also discussed here.