关于非负正定矩阵的Lder序和预偏序的一个注记

A Note on the Lower Partial Ordering and Space Preordering of Hermitian Non-negative Definite Matrices

指出对于非负正定矩阵的平方阵的减序,矩阵的非负正定性可以减弱为H ermm ite矩阵,同时利用矩阵的组合关系,给出H ermm ite矩阵的平方矩阵的*序的等价刻画.

We point out that the result on minus partial on the squares of non-negative definite matrix is hold for the Hermmite matrices,and investigate the relation between the minus and star partial ordering of the matrices. Further, a equivalencies for the star partial ordering of the Hermmite matrices is given using the linear combinations.