【摘要】 引进ｒ次迹函数，并且证明这个函数按Ｒ．Ｍｅｒｒｉｓ的说法，可控制分块半正定厄米特矩阵。给出一个例子，该例补充了Ｒ．Ｍｅｒｒｉｓ对控制不等式问题反问题的讨论．更多还原

【Abstract】 he r-th trace functions(X)are introduced to prove that these functions dominatethe partitioned positive semidefinite Hermitian matrices,where the dominance concept hasbeen extensively,discussed by M. Marcus and R. Merris and others,An interesting exam-ple is given to supplement the discussion of R. Merris’ result concerning the converse of thedominant inequalities.更多还原