A matrix trace inequality and its application

作者：Furuichi Shigeru^*; Lin Minghua

来源：Linear Algebra and Its Applications, 2010, 433(7): 1324-1328.

DOI：10.1016/j.laa.2010.05.011

• Matrix trace inequality
• Positive semidefinite matrix
• Majorization
• Golden-Thompson inequality

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.

• 出版日期2010-12-1