摘要
本文给出了用低阶矩阵的广义对称正定性来判定高阶矩阵的广义对称正定性的判定定理,并且给出了矩阵方程AX=B的反问题在广义对称正定矩阵类中解存在的充要条件及解的一般形式。
In this paper, a criterion is presented for the determination of generalized symmetric positive definite matrices of high orders be the low order ones, the necessary and sufficient condition for thy existence of solutions of the inverse problem of matrix equation AX = B and the general form of the solutions are also given.
关键词
矩阵
正定矩阵
矩阵方程
Matrix Positive definite matrix Matrix equation
