关于矩阵的偏迹不等式

Inequalities for the Partial of Matrices

本文给出了复矩阵的ｋ──项复合矩阵的偏迹不等式：其中Ａ，Ｂ为ｎ阶半正定Ｈｅｒｍｔｅ矩阵，Ａ＿１，Ａ＿２，…，Ａ＿ｍ．（ｍ≥２）为ｎ阶复矩阵，ｉ＝１，２，…，ｒ为自然数．

The partial trace inequalities for the product of matrices A,8(positive defni-nite Hermite Matrices) ,A_1 ,A_2,…,A_m∈C￣(nxn):are provd.