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arXiv · 1001.3803

A matrix trace inequality and its application

Shigeru Furuichi·Minghua Lin
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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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Shigeru Furuichi, Minghua Lin. 2010-01-21. A matrix trace inequality and its application. https://doi.org/10.1016/j.laa.2010.05.011

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