一个矩阵迹不等式的推广

A Generalization of the Trace Inequlity of Matrix

证明了Fozi M.Dannan[J.Inequal.Pure and Appl.Math,2(3)Art.34.2001]得到的正定Hermitian矩阵迹不等式对一般的Hermitian矩阵也是成立的,同时给出了其等式成立的充分必要条件。

Recently,the trace inequality involving positive definite Hermitian matrix is established by Fozi M. Dannan [J. Inequal Pure and Appl Math, 2 (3) Art, 2001]. We extend this result to any Hermitian matrces,and the necessary and sufficient condition under which equality occur is presented.