A matrix trace inequality and its application

Details A matrix trace inequality and its application A matrix trace inequality and its application

2010-01-21

arxiv.org/abs/1001.3803v6

Linear Alg. Appl., Vol.433(2010), pp.1324-1328

Mathematics

Functional Analysis

Scientific paper

10.1016/j.laa.2010.05.011

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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