paper

A matrix trace inequality and its application

arXiv:1001.3803 · doi:10.1016/j.laa.2010.05.011

Abstract

In this short paper, we give a complete and affirmative answer to a conjecture on matrix trace inequalities for the sum of positive semidefinite matrices. We also apply the obtained inequality to derive a kind of generalized Golden-Thompson inequality for positive semidefinite matrices.

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