分块复矩阵次亚正定性的几个判据

On Criterion for the Metarositive Semi-Definteness of Partitioned Complex Matricess

文章对一类复矩阵的次亚正定性进行了研究,给出了由低阶矩阵的次亚正定判别分块二阶次Hermite矩阵的次亚正定性的充要条件.

In this paper, metapositive semi-definiteness of the special kind of partitioned complex matrices have been studied, the necessary and sufficient condition which determines metapositive semi-definiteness of 2 × 2 partitioned semi-Hermite matrices by metapositive semi- definiteness of lower order matrices has been obtained.