A matrix trace inequality and its application
A matrix trace inequality and its application
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DOI：
10.1016/j.laa.2010.05.011
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发表时间：
2010-01
影响因子：
1.1
通讯作者：
S. Furuichi;Minghua Lin
中科院分区：
文献类型：
--
作者：
S. Furuichi;Minghua Lin
本文对关于半正定矩阵和的矩阵迹不等式的一个猜想给出了完全肯定的回答。应用所得不等式，得到了一类半正定矩阵的广义Golden-Thompson不等式.
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.