关于矩阵迹的不等式

Inequality about Trace of Matrix

讨论了满足条件R[A,B]≤1的矩阵和的平方的迹的不等式,并利用经典的H(o|¨)lder不等式和Minkowski不等式,证明了半正定Hermiter矩阵迹的H(o|¨)lder不等式和矩阵迹的Minkowski不等式的推广不等式.

The inequalities of the trace to the square between the sum of matrices are considered under the condition of R[A, B] ≤ 1. By the classical HSlder and the Minkowski inequalities, we generalize the HSlder inequality of the semidefinite Hermitian matrix trace and Minkowski inequality of the matrix trace, respectively.