摘要
本文给出了用低阶矩阵来判定高阶矩阵的亚正定的判定定理，同时给出了矩阵方程ＡＸ＝Ｂ的反问题在亚正定矩阵类中解存在的充要条件及一般形式。
In this paper, a theorem for detendning seal-positive defenitness of highorder matrices by low order matrices in given and the necessary and sufficiet condition Of ekistens Of the solution to the inverse problem of matrix equatiOn AX=B in the set of seal-positive definite rnatrices is given so is the general form Of the soluhon.
关键词
对称正定
亚正定
矩阵
Symmetric positive definite Semi-positive definite
