次对称阵的广义次正定性

The generalized sub-positive definiteness of sub-symmetric matrices

概述了次对角线方向矩阵理论中的一些定义及结论,进而提出了次对称的广义次正定阵的概念,给出了判定它的一系列充要条件并类推了两个关于次Hermite阵的定理,最后讨论了它的性质.

In this paper, we begin with several definitions and conclusions of sub - diagonal line matrices, and then come up with the concept of the generalized sub - positive definiteness of sub - symmetric matrices, and give a series of sufficient and necessary conditions, in addition analogize two theorems about sub - hennite matrices, in the end, we discuss its properties.