矩阵的广义次正定性

Improper Metapositive Definiteness Matrix

给出了实矩阵的广义次正定性，并得出广义次正定矩阵的一些性质。

If A∈ R n×n for 0≠X=(x 1 x 2 … X n) T∈ R n×1 exist S∈S -=S|S ST =S, for 0≠X∈ R n×1 ,X ST SX>0 such as X ST SAX>0 ,then A is called improper metapositive definiteness matrix where X ST =(x n,x n-1 ,…x 1) .Some properties of the improper metapositive definiteness matrix are given here.