Holder不等式及Minkowski不等式的矩阵形式

The Matrix Forms of the Holder and Nlinkowski Inequalities

本文给出了半正定矩阵正实数次方幂及正定矩阵的实数次方幂的概念,并把实数域中的Holder不等式,Minkowski不等式推广到矩阵不等式的情形。

This paper gives the definitions of the pewer of a positive real of positivesemidefinite matrix and the power of a real of positive definite matrix, andestablishes the analoges of matrices for the Holder and Minkowski inequalities.