positive stability

The definition of the positive hyperstable matrix was given,and the relations among classes of positive definite matrix,metapositive definite matrix, well generalized positive definite matrix,generalized positive definite matrix,positive hyperstable matrix and positive stable matrix were studied.

提出了超正稳定的概念，讨论了实对称正定、亚正定、良广义正定、广义正定、超正稳定及正稳定矩阵类之间的关系，得到了若干确定的结果。

The definition of the positive hyperstable matrix was given,and the relations among classes of positive definite matrix,metapositive definite matrix, well generalized positive definite matrix,generalized positive definite matrix,positive hyperstable matrix and positive stable matrix were studied.

提出了超正稳定的概念，讨论了实对称正定、亚正定、良广义正定、广义正定、超正稳定及正稳定矩阵类之间的关系，得到了若干确定的结果。

By the application of metrix′s singular value sub integral, the paper presents sufficient conditions for the positive stable solution to the practical metrix equation, and simultaneously gets a method of construction of positive stable solution to the metrix.

利用矩阵的奇异值分解 ,给出了实矩阵方程ATXA =B存在正稳定解的充要条件 ,同时也得到了构造该方程正稳定解的一种方